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Tuesday, July 28, 2020 | History

2 edition of Equimeasurable rearrangements of functions .... found in the catalog.

Equimeasurable rearrangements of functions ....

K. M. Chong

Equimeasurable rearrangements of functions ....

by K. M. Chong

  • 121 Want to read
  • 17 Currently reading

Published by Queen"s University in Kingston Ontario .
Written in English


Edition Notes

SeriesQueen"s Papersin Pure and Applied Mathematics -- 28
ContributionsRice, N. M.
ID Numbers
Open LibraryOL20554191M

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. Book January Equimeasurable rearrangements of functions f satisfying the reverse Hölder or the reverse Jensen inequality are studied. It is shown that the equimeasurable.

  If (X, Λ, μ) is a finite measure space and f is in L 1 (X, μ), then the σ(L 1, L ∞)-closure of the set Δ(f) of all measurable functions equimeasurable with f is shown to be the set to which g belongs if and only if there is a function equimeasurable with f which majorizes g (in the sense of the Hardy-Littlewood-Polya preorder relation) on the non-atomic part of X and which equals g on. 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∗. Definition and basic properties.

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


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Equimeasurable rearrangements of functions ... by K. M. Chong Download PDF EPUB FB2

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 product-space extension of the Rising Sun lemma, a product-space version of the John-Nirenberg Cited by: Various applications of equimeasurable function rearrangements to the ''best constant"-type problems are considered in this volume.

Several classical theorems are. 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 product-space extension of the Rising Sun lemma, a. Mean oscillations and equimeasurable rearrangements of functions Anatolii A. Korenovskii Various applications of equimeasurable function rearrangements to the “best constant”-type problems are considered in this volume.

This volume considers various applications of equimeasurable function rearrangements to the "best constant"-type problems. It presents several classical theorems along with some very recent results. Stack Exchange network consists of Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share.

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 monotonicity of a solution is desired.

JOURNAL OF FUNCTIONAL ANALY () Rearrangements of Functions J. CROWE AND J. ZWEIBEL Department of Mathematics, Columbia University, New York, New York AND P. ROSENBLOOM Teachers College, Columbia University, NewYork, New York Communicated by the Editors Let /, g be measurable non-negative functions on R, and let f,g be their equimeasurable.

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.

The reverse Hölder inequality, the Muckenhoupt condition, and equimeasurable rearrangement of functions. Russian Acad. Sci. Dokl. 45 (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 how the theory should be generalized in order to accommodate the more recent and powerful applications. Mean Oscillations and Equimeasurable Rearrangements of Functions (Lecture Notes of the Unione Matematica Italiana) Categories: E-Books & Audio Books English | ISBN | ISBN 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. Additional Physical Format: Online version: Chong, K.M. Equimeasurable rearrangements of functions. Kingston, Ont.: Queen's University, (OCoLC) Mean Oscillations and Equimeasurable Rearrangements of Functions by Korenovskii, Anatolii A.

and a great selection of related books, art and collectibles available now at 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] Abstract.

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 which.

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 solution is desired.

In this book, we focus on extremal problems. Equimeasurable rearrangements of real-valued functions of one or more real variables are surveyed. dydx where f, g, and h are the spherically. 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. Note that the definitions of all the terminology in the above theorem (i.e., Banach function norms, rearrangement-invariant Banach function spaces, and resonant measure spaces) can be found in sections 1 and 2 of Bennett and Sharpley's book (cf.

the references below). See also. Isoperimetric inequality; Layer cake representation.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.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.