Sobolev's inequality for Riesz potentials of functions in non-doubling Morrey spaces

Yoshihiro Mizuta, Tetsu Shimomura, Takuya Sobukawa

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

Our aim in this paper is to give Sobolev's inequality and Trudinger exponential integrability for Riesz potentials of functions in non-doubling Morrey spaces.

Original languageEnglish
Pages (from-to)255-271
Number of pages17
JournalOsaka Journal of Mathematics
Volume46
Issue number1
Publication statusPublished - 2009 Mar
Externally publishedYes

Fingerprint

Riesz Potential
Morrey Space
Sobolev Inequality
Integrability

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Sobolev's inequality for Riesz potentials of functions in non-doubling Morrey spaces. / Mizuta, Yoshihiro; Shimomura, Tetsu; Sobukawa, Takuya.

In: Osaka Journal of Mathematics, Vol. 46, No. 1, 03.2009, p. 255-271.

Research output: Contribution to journalArticle

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