A note on vanishing Morrey → VMO result for fractional integrals of variable order-Reference-Cited by-同舟云学术

A note on vanishing Morrey → VMO result for fractional integrals of variable order

Published:2020-02-01 Issue:1 Volume:23 Page:298-302
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Rafeiro Humberto¹,Samko Stefan²

Affiliation:

1. United Arab Emirates University , Department of Mathematical Sciences, College of Sciences , Al Ain , United Arab Emirates

2. Universidade do Algarve , Department of Mathematics Faculdade de Ciências e Tecnologia , Faro , Portugal

Abstract

Abstract In the limiting case of Sobolev-Adams theorem for Morrey spaces of variable order we prove that the fractional operator of variable order maps the corresponding vanishing Morrey space into VMO.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2020-0013/pdf

Reference9 articles.

1. P.W. Jones, Extension theorems for BMO. Indiana Univ. Math. J. 29, No 1 (1980), 41–66.

2. V. Kokilashvili, A. Meskhi, H. Rafeiro, S. Samko, Integral Operators in Non-Standard Function Spaces. Volume 1: Variable Exponent Lebesgue and Amalgam Spaces. Birkhäuser/Springer, Basel (2016).

3. V. Kokilashvili, A. Meskhi, H. Rafeiro, S. Samko, Integral Operators in Non-Standard Function Spaces. Volume 2: Variable Exponent Hölder, Morrey-Campanato and Grand Spaces. Birkhäuser/Springer, Basel (2016).

4. M. Lifshits and W. Linde, Fractional integration operators of variable order: continuity and compactness properties. Math. Nachr. 287, No 8-9 (2014), 980–1000.

5. H. Rafeiro, S. Samko, Fractional integrals and derivatives: mapping properties. Fract. Calc. Appl. Anal. 19, No 3 (2016), 580–607; 10.1515/fca-2016-0032; https://www.degruyter.com/view/j/fca.2016.19.issue-3/issue-files/fca.2016.19.issue-3.xml.

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Dual Spaces of Anisotropic Variable Hardy–Lorentz Spaces and Their Applications;Fractional Calculus and Applied Analysis;2023-03-23

2. PROFESSOR STEFAN G. SAMKO RESEARCH: A DECADE RETROSPECTIVE;Journal of Mathematical Sciences;2022-09

3. Anisotropic variable Campanato-type spaces and their Carleson measure characterizations;Fractional Calculus and Applied Analysis;2022-06

4. Fractional Operators from Vanishing Morrey to Vanishing Campanato Spaces in the Variable Exponent Setting on Quasi-metric Measure Spaces;Springer Proceedings in Mathematics & Statistics;2022

5. Addendum to “On the Riesz potential operator of variable order from variable exponent Morrey space to variable exponent Campanato space”, Math Meth Appl Sci. 2020; 1–8;Mathematical Methods in the Applied Sciences;2021-09-06