Vector-valued inequalities on herz spaces and characterizations of herz-sobolev spaces with variable exponent

Mitsuo Izuki

doi:10.3336/gm.45.2.14

Vector-valued inequalities on herz spaces and characterizations of herz-sobolev spaces with variable exponent

Mitsuo Izuki

Graduate School of Education

Research output: Contribution to journal › Article › peer-review

22 Citations (Scopus)

Abstract

Our first aim in this paper is to prove the vector-valued inequalities for some sublinear operators on Herz spaces with variable exponent. As an application, we obtain some equivalent norms and wavelet characterization of Herz-Sobolev spaces with variable exponent.

Original language	English
Pages (from-to)	475-503
Number of pages	29
Journal	Glasnik Matematicki
Volume	45
Issue number	2
DOIs	https://doi.org/10.3336/gm.45.2.14
Publication status	Published - Dec 2010

Keywords

Herz-Sobolev space with variable exponent
Vectorvalued inequality
Wavelet

ASJC Scopus subject areas

Mathematics(all)

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abstract = "Our first aim in this paper is to prove the vector-valued inequalities for some sublinear operators on Herz spaces with variable exponent. As an application, we obtain some equivalent norms and wavelet characterization of Herz-Sobolev spaces with variable exponent.",

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