Last edited by Mezit
Wednesday, May 13, 2020 | History

7 edition of Measure of non-compactness for integral operators in weighted Lebesgue spaces found in the catalog.

Measure of non-compactness for integral operators in weighted Lebesgue spaces

by Alexander Meskhi

  • 116 Want to read
  • 12 Currently reading

Published by Nova Science Publishers in Hauppauge, NY .
Written in English

    Subjects:
  • Integral operators,
  • Lebesgue integral,
  • Maximal functions,
  • Measure theory

  • Edition Notes

    Includes bibliographical references and index.

    StatementAlexander Meskhi.
    Classifications
    LC ClassificationsQA329.6 .M47 2009
    The Physical Object
    Paginationp. cm.
    ID Numbers
    Open LibraryOL23203259M
    ISBN 109781606928868
    LC Control Number2009014716
    OCLC/WorldCa312015255

    The notion of "measure of non-compactness" was first introduced by C. any bounded set in a metric space its measure of non-compactness, denoted by, is defined to be the infimum of the positive numbers such that can be covered by a finite number of sets of diameter less than or equal to.. Another measure of non-compactness is the ball measure, or Hausdorff measure, which is. You can write a book review and share your experiences. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them.

    The present Thesis is dedicated to the investigation of necessary and sufficient conditions for which a weighted Hardy type inequality holds in weighted spaces of sequences and on the cone of non-negative monotone sequences, and their applications. We prove a new discrete Hardy type inequality involving a kernel which has a more general form than those known in the literature. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. 1 Measure of Non-Compactness For Integral Operators in Weighted Lebesgue Spaces.

    operator on K¨othe spaces: measure of non-compactness and closed range, Submitted (). [22] Y. C UI,H.H UDZIK,R.K UMAR, AND L. M ALIGRANDA, Composition operators in Orlicz spaces, Journal of the Australian Mathematical Soci 2 (), – Measure of non-compactness for integral operators in weighted Lebesgue spaces. Nova Science Publishers, New York. წ. ISBN In Book "Simulation and Optimization Methods in Risk and Reliability Theory". Edited P. Knopov and P. Pardalos.


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Measure of non-compactness for integral operators in weighted Lebesgue spaces by Alexander Meskhi Download PDF EPUB FB2

Deals with the measure of non-compactness (essential norm) in weighted Lebesgue spaces for maximal, potential and singular operators dened, generally speaking, on homogeneous groups.

Get this from a library. Measure of non-compactness for integral operators in weighted Lebesgue spaces. [Alexander Meskhi]. This book is devoted to the measure of non-compactness (essential norm) in weighted Lebesgue spaces for maximal, potential and singular operators dened, generally speaking, on homogeneous groups.

The main topics of the monograph contain related results for potential and singular integrals in weighted function spaces with non-standard growth.

We consider generalized Hardy operators acting between two weighted Lebesgue spaces X = LP(a, b;v) and Y = Lq(a, b;w), 1 ≥ p.

This book is devoted to the measure of non-compactness (essential norm) in weighted Lebesgue spaces for maximal, potential and singular operators dened, generally speaking, on homogeneous groups.

In functional analysis, two measures of non-compactness are commonly used; these associate numbers to sets in such a way that compact sets all get the measure 0, and other sets get measures that are bigger according to "how far" they are removed from compactness.

The underlying idea is the following: a bounded set can be covered by a single ball of some radius. In this paper we study the behaviour of the measure of non-compactness of bilinear operators among quasi-Banach spaces interpolated by the general real method. We follow a direct approach based on properties of the vector-valued sequence spaces that come up with the construction of Cited by: 4.

Acknowledgment. This work was supported by National Natural Science Foundation of China (Grant Nos.and ). The authors thank the referees for their constructive comments, which suggest that besides the Hausdorff and Kuratowski measures of non-compactness, many other measures of non-compactness are also widely used in many aspects of nonlinear : Ehmet Ablet, Lixin Cheng, Qingjin Cheng, Wen Zhang.

Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. I can't understand the following example of measure of non-compactness, which was given in a research article.

Genaro López Acedo" where a construction of the measure of noncopamctness for sequence spaces. A Local Estimate for the Maximal Function in Lebesgue Spaces with EXP-Type Exponents spaces. At that time, I was writing a book [ ]onvariable Lebesgue spaces with David Cruz-Uribe. e collaboration Measure of Non-Compactness for Integral Operators in Weighted Lebesgue Spaces, Nova Science Publishers, New York, NY, USA.

Integral Operators In Non-standard Function Spaces Volume 2 Variable Exponent. $ Integral Operators In Non-standard Function Spaces Volume 1 Variable Exponent. $ Integral Operators In Non-standard Function Spaces Volume 2 Variable Exponent.

$ Potential and Identity Operators This chapter is devoted to estimates of the measure of non-compactness for potential operators in weighted Lebesgue spaces defined on Euclidean spaces and homogeneous groups, partial sums of Fourier series, Poisson integrals.

The same problem for the identity operator is also investigated. We calculate the measure of non-compactness of the multiplication operator \(M_u\) acting on non-atomic Köthe spaces.

We show that all bounded below multiplication operators acting on Köthe spaces are surjective and therefore bijective and we give some new characterizations about closedness of the range of \(M_u\) acting on Köthe by: 2. Home > The measure of non-compactness of some linear integral operators Information ; Usage statistics ; Files.

The measure of non-compactness of some linear integral operators Stuart, Charles Alexander. Published in: Proceedings of the Royal Society of Edinburgh.

Section A: Mathematics, 71, part 2, Cited by: 5. SciTech Book News: Article Type: Brief article: Date: Mar 1, Words: Previous Article: Measure of non-compactness for integral operators in weighted Lebesgue spaces.

Next Article: Magnetic isotope effect in chemistry and biochemistry. Topics. Weighted inequalities for Volterra integral operators in Banach function spaces January 6 Amiran Gogatishvili (Mathematical Institute AS CR, Prague): Weighted inequalities for Volterra integral operators in Banach function spaces Febru March 3, 10, 24, April 7, 14 Petr Gurka (Czech University of Agriculture, Prague).

Meskhi, Measure of Non-Compactness for Integral Operators in Weighted Lebesgue Spaces, Nova Science Publishers, New York, NY, USA, View at: MathSciNet S. Samko, “On a progress in the theory of Lebesgue spaces with variable exponent: maximal and singular operators,” Integral Transforms and Special Functions., vol.

16, no.pp Author: Alberto Fiorenza. A. Karlovich. Singular integral operators on variable Lebesgue spaces with radial oscillating weights. In Operator algebras, operator theory and applications, volume of Oper.

Theory Adv. Appl., pages – Birkhäuser Verlag, Basel, Google ScholarAuthor: David V. Cruz-Uribe, Alberto Fiorenza. In this paper we discuss compactness of the canonical solution operator to ∂ ¯ on weigthed L 2 spaces on C this purpose we apply ideas which were used for the Witten Laplacian in the real case and various methods of spectral theory of these by: THE MEASURE OF NON-COMPACTNESS OF A DISJOINTNESS PRESERVING OPERATOR Anton R.

Schep University of South Carolina Abstra ct. Let E and F be Banach lattices and assume E has no atoms. Let T: E!F be a norm bounded disjointness preserving operator from E into F. Then (T)= (T)=kTke=kTk Introduction.

" On a measure of non-compactness formaximal functions", Congress of Georgian “ Maximal and potential operators in weighted Lebesgue spaces with nonstandard growth”, Abdus Salam School of MathematicalMeasure of Non-compactness for Integral Operators in Weighted Lebesgue Spaces.

Nova Science Publishers, New.Bounded and Compact Integral Operators by David E. Edmunds Weighted criteria in Lorentz spaces Applications to Abel's integral equations The measure of non-compactness Mapping properties in Lorentz spaces Notes and comments on Chapter 4 5.6.‘‘Integral operators in new function spaces: one and two weight problems’, International Conference ‘’Function Spaces X’’, July, Poznan, Poland.

7.'One-weighted and trace inequalities criteria for fractional integrals in grand Lebesgue.