SOBOLEV INEQUALITIES FOR RIESZ POTENTIALS OF FUNCTIONS IN OVER NONDOUBLING MEASURE SPACES-Reference-Cited by-同舟云学术

SOBOLEV INEQUALITIES FOR RIESZ POTENTIALS OF FUNCTIONS IN OVER NONDOUBLING MEASURE SPACES

Published:2015-11-12 Issue:1 Volume:93 Page:128-136
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Aust. Math. Soc.

Author:

OHNO TAKAO,SHIMOMURA TETSU

Abstract

Our aim in this paper is to deal with Sobolev inequalities for Riesz potentials of functions in Lebesgue spaces of variable exponents near Sobolev’s exponent over nondoubling metric measure spaces.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference15 articles.

1. Weak Type L 1 Estimates for Maximal Functions on Non-Compact Symmetric Spaces

2. Sobolev’s inequality for Riesz potentials of functions in generalized Morrey spaces with variable exponent attaining the value 1 over non-doubling measure spaces

3. Sharp estimates of the modified Hardy Littlewood maximal operator on the nonhomogeneous space via covering lemmas

4. Sobolev’s inequality for Riesz potentials of functions in non-doubling Morrey spaces;Mizuta;Osaka J. Math.,2009

5. Sobolev embeddings for Riesz potential spaces of variable exponents near 1 and Sobolev's exponent

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