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2010•Journal of Lanzhou UniversityRequires access

Boundedness of Marcinkiewicz integrals with variable kernel on the homogeneous Morrey-Herz spaces

Shuangping Tao

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Abstract

The boundedness results on the homogeneous Morrey-Herz spaces MK_(p,q)~(α,λ)(R~n) were established for the Marcinkiewicz integral operator with a variable kernel.A corresponding estimate of WMK_(p,q)~(α,λ)(R~n) spaces was also obtained.

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The boundedness results on the homogeneous Morrey-Herz spaces MK_(p,q)~(α,λ)(R~n) were established for the Marcinkiewicz integral operator with a variable kernel.A corresponding estimate of WMK_(p,q)~(α,λ)(R~n) spaces was also obtained.

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Available abstract

The boundedness results on the homogeneous Morrey-Herz spaces MK_(p,q)~(α,λ)(R~n) were established for the Marcinkiewicz integral operator with a variable kernel.A corresponding estimate of WMK_(p,q)~(α,λ)(R~n) spaces was also obtained.

Key concepts: Homogeneous, Kernel (algebra), Mathematics, Mathematical analysis, Variable (mathematics), Pure mathematics, Combinatorics

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