2 edition of **Equitmeasurable rearrangements of functions** found in the catalog.

Equitmeasurable rearrangements of functions

K. M. Chong

- 255 Want to read
- 20 Currently reading

Published
**1971** by Queen"s University in Kingston, Ont .

Written in English

- Banach spaces

**Edition Notes**

Bibliography: p. 174-177.

Statement | by K.M. Chong and N.M. Rice. |

Series | Queen"s papers in pure and applied mathematics -- no. 28 |

Contributions | Rice, N. M. |

Classifications | |
---|---|

LC Classifications | QA322 C45 |

The Physical Object | |

Pagination | vi, 177 p. |

Number of Pages | 177 |

ID Numbers | |

Open Library | OL20230164M |

In mathematical analysis, Lorentz spaces, introduced by George G. Lorentz in the s, are generalisations of the more familiar spaces.. The Lorentz spaces are denoted by,.Like the spaces, they are characterized by a norm (technically a quasinorm) that encodes information about the "size" of a function, just as the norm does. The two basic qualitative notions of "size" of a function . This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant Banach function : Elsevier Science. New Books for 02/29/ AUTHOR: Hastie, Trevor. Mean oscillations and equimeasurable rearrangements of functions / Anatolii Korenovskii. PUBLISHER: Berlin ; New York: Springer, c SERIES: Lecture notes of the Unione Matematica Italiana, 4: CALL NUMBER: QA K CIMM.

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"This book is devoted to classes (spaces) of functions that can be described in terms of mean oscillations. The sharp constants in the corresponding relations have been found in a number of works by the author of the book under review and his students; these works form the core of the present book.

The book is well by: Various applications of equimeasurable function rearrangements to the ''best constant"-type problems are considered in this volume.

Several classical theorems are presented along with some very recent results. In particular, the text includes a. Several avenues are available for members of the UVA community needing Library resources, including HathiTrust's newly-released trove of copyrighted digital material, open educational resources, online journals, databases, and e-books.

Additional Physical Format: Online version: Chong, K.M. Equimeasurable rearrangements of functions. Kingston, Ont.: Queen's University, (OCoLC) Various applications of equimeasurable function rearrangements to the “best constant”-type problems are considered in this volume.

Several classical theorems are presented along with some very recent results. Various applications of equimeasurable function rearrangements to the ''best constant"-type problems are considered in this volume. Several classical theorems are presented along with some very recent results.

Coverage includes a product-space Equitmeasurable rearrangements of functions book of the Rising Sun lemma, a product-space version of the John-Nirenberg inequality for bounded mean oscillation functions with sharp exponent, and sharp embedding theorems for Muckenhoupt, Gurov-Reshetnyak, and Gehring classes.

Books and papers containing Marcinkiewicz's mathematical results are cited in part 4 just after the discussion of his mathematical achievements. Equimeasurable rearrangements of functions. The weak closure of the equimeasurable rearrangements of a measurable function Article (PDF Available) in Indagationes Mathematicae (Proceedings) 82(1).

The concept of equimeasurable rearrangement is also defined for functions on a more general class of measure spaces, and the inequality holds in the general case. Equitmeasurable rearrangements of functions book If F[x,y)= p(x-y), where convex and Cited by: 1 weights and equimeasurable rearrangements of functions Eleftherios N.

Nikolidakis Abstract: We prove that the non-increasing rearrangement of a dyadic A 1-weight w with dyadic A 1 constant w T 1 = cwith respect to a tree Tof homogeneity k, on a non-atomic probability space, is a usual A 1 weight on (0;1] with A 1-constant [w] 1 not more than Cited by: 1.

Abstract. In this chapter we study the distribution function which is a tool that provides information about the size of a function but not about its pointwise behavior or locality; for example, a function f and its translation are the same in terms of their distributions.

Based on the distribution function we study the nonincreasing rearrangement and establish its basic Author: René Erlín Castillo, Humberto Rafeiro. Stanford Libraries' official online search tool for books, media, journals, databases, government documents and more.

Mean oscillations and equimeasurable rearrangements of functions in SearchWorks catalog. Mean Oscillations and Equimeasurable Rearrangements of Functions (Lecture Notes of the Unione Matematica Italiana) Categories: E-Books & Audio Books English | ISBN | ISBN Stack Exchange network consists of Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

Visit Stack Exchange. The weak closure ofthe equimeasurable rearrangements ofa measurable function by Peter W. Day Emory University, University Computing Center, Atlanta, GeorgiaUSA Communicated by Prof. Zaanen at the meeting ofOcto ABSTRACT If(X, A, p) is a finite measure space and f is in L1 (X, p), then the I1{L1, LO:»_ closure of the.

Rocky Mountain J. Math. Vol Number 1 (), Equimeasurable Rearrangements of Functions and Fourth Order Boundary Value ProblemsCited by: 3.

Rearrangements manipulate the shape of a geometric object while preserving its size. They are used in the Calculus of Variations to ﬁnd extremals of geometric functionals. Here, we will study the symmetric decreasing rearrangement, which replaces a given nonnegative function fby a radial function f∗.

This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant Banach function spaces. In the classical theory of monotone equimeasurable rearrangements of functions, “equimeasurability” (i.e., that two functions have the same distribution) is defined relative to a given additive probability measure.

These rearrangement tools have been successfully used in many problems in economic theory dealing with uncertainty where the monotonicity of a Cited by: DYADIC-BMO FUNCTIONS, THE DYADIC GUROV–RESHETNYAK CONDITION ON [0,1]n AND EQUIMEASURABLE REARRANGEMENTS OF FUNCTIONS.

Eleftherios N. Nikolidakis. National and Kapodistrian University of Athens, Department of Mathematics Panepisimioupolis, ZografouAthens, Greece; [email protected] by: 1. Get this from a library. Mean oscillations and equimeasurable rearrangements of functions.

[Anatolii Korenovskii] -- "Various applications of equimeasurable function rearrangements to the "best constant"--Type problems are considered in this volume. Several classical theorems are presented along with some very.

This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant Banach function spaces.

At the same time, however, it. MATH ~,~-ATICS The weak closure of the equimeasurable rearrangements of a measurable function by Peter W. Day* Emory University, University Computing Center, Atlanta, GeorgiaUSA Communicated by Prof. Zaanon at the meeting of Octo ABSTRACT If (X, A, p) is a finite meagre space and / is in L1 (X, p), then the ~(LI, Le- closure Author: Peter W.

Day. Downloadable. In the classical theory of monotone equimeasurable rearrangements of functions, “equimeasurability” (i.e., that two functions have the same distribution) is defined relative to a given additive probability measure. These rearrangement tools have been successfully used in many problems in economic theory dealing with uncertainty where the Cited by: Rearrangements of functions and embedding theorems.

V P Il'in and S M Nikol'skii Integral representations of functions and embedding theorems (John Wiley & Sons, Chong K M and N M Rice Equimeasurable rearrangements of functions, Queen's Papers (Pure and Appl. Math., no. 28) (Queen's University, Kingston, Cited by: Theorem 21 has shown that the weak closure of the equimeasurable rearrangements of F E Ll[O, l] is the same as the orbit Q of F under the semigroup of all doubly stochastic operators on Li[O, The set Q has also been characterized [9, Theorem 31 as those functions in Li whichFile Size: KB.

Mean Oscillations and Equimeasurable Rearrangements of Functions Series: Lecture Notes of the Unione Matematica Italiana, Vol. 4 Korenovskii, Anatolii A.

Downloadable. In the classical theory of monotone equimeasurable rearrangements of functions, “equimeasurability” (i.e. the fact the two functions have the same distribution) is defined relative to a given additive probability measure.

These rearrangement tools have been successfully used in many problems in economic theory dealing with uncertainty. This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant Banach function Edition: 1.

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the fact the two functions have the same distribution) is deﬁned relative to a given additive probability measure. These rearrangement tools have been successfully used in. This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant Banach function spaces.

At the same time, however, it clearly shows how the theory should be generalized in order to Author: Colin Bennett. I am very new to the these topics. I am in a section about Lorentz spaces in Adam's book on Sobolev spaces. What is the intuition in equimeasurable decreasing rearrangement of a function.

Given a. Rearrangements of sets of numbers and rearrangements of functions were defined and investigated in detail in the book of Hardy, Littlewood and Pólya [4, Chapter X], Using this notion, classes of nonhomogeneous strings, membranes, rods and plates with equimeasurable density were considered by.

This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant Banach function spaces. At the same time, however, it clearly shows how the theory should be generalized in order to.

In mathematics, the symmetric decreasing rearrangement of a function is a function which is symmetric and decreasing, and whose level sets are of the same size as.

This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant Banach function spaces.4/5(2).

This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant Banach function spaces. At the same time, however, it clearly shows Price: $ Chromosomal rearrangements encompass several different classes of events: deletions, duplications, inversions; and translocations.

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Dyadic A1 weights and equimeasurable rearrangements of functions Nikolidakis, Eleftherios; Abstract. We prove that the decreasing rearrangement of a dyadic A1 weight w with dyadic A1 constant [w]_{1,T}=c with respect to a tree T of homogeneity k,on a non-atomic probability space, is a usual A1 weight on (0,1] with A1 constant not more than kc Cited by: 1.Categories: E-Books & Audio Books.

Transport Equations and Multi-D Hyperbolic Conservation Laws (Lecture Notes of the Unione Matematica Italiana) English | ISBN | ISBN Mean Oscillations and Equimeasurable Rearrangements of Functions (Lecture N Simulation Tools and Techniques: 11th International.Stanford Libraries' official online search tool for books, media, journals, databases, government documents and more.

Using the libraries. Connecting to e-resources Mean oscillations and equimeasurable rearrangements of functions. Berlin: Springer. MLA. Korenovskii, Anatolii. Mean Oscillations and Equimeasurable Rearrangements of Functions.