Boundedness of vector-valued sublinear operators on Herz-Morrey spaces with variable exponent

Mitsuo Izuki

Boundedness of vector-valued sublinear operators on Herz-Morrey spaces with variable exponent

Mitsuo Izuki

Graduate School of Education

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

35 Citations (Scopus)

Abstract

Our aim in this paper is to prove the vector-valued inequalities for some sublincar operators satisfying a proper size condition on Herz-Morrey spaces with variable exponent MK^α,γ_{q, p(·)} (ℝⁿ). Our result is a generalization of some known results on the boundedness on Hcrz spaces and on Herz-Morrey spaces.

Original language	English
Pages (from-to)	243-253
Number of pages	11
Journal	Mathematical Sciences Research Journal
Volume	13
Issue number	10
Publication status	Published - Oct 2009

Keywords

Herz-Morrey space with variable exponent
Vector-valued inequality

ASJC Scopus subject areas

Mathematics(all)

Cite this

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abstract = "Our aim in this paper is to prove the vector-valued inequalities for some sublincar operators satisfying a proper size condition on Herz-Morrey spaces with variable exponent MKα,γq, p(·) (ℝn). Our result is a generalization of some known results on the boundedness on Hcrz spaces and on Herz-Morrey spaces.",

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AB - Our aim in this paper is to prove the vector-valued inequalities for some sublincar operators satisfying a proper size condition on Herz-Morrey spaces with variable exponent MKα,γq, p(·) (ℝn). Our result is a generalization of some known results on the boundedness on Hcrz spaces and on Herz-Morrey spaces.

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Boundedness of vector-valued sublinear operators on Herz-Morrey spaces with variable exponent

Abstract

Keywords

ASJC Scopus subject areas

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