Singular Integrals and Commutators in Generalized Morrey Spaces

Details Singular Integrals and Commutators in Generalized Morrey Spaces Singular Integrals and Commutators in Generalized Morrey Spaces

2002-04-10

arxiv.org/abs/math/0204114v2

Mathematics

Functional Analysis

LaTeX, 19 pages; corrected typos

Scientific paper

The present paper deals with singular integrals with variable Caldero'n-Zygmund type kernels satisfying mixed homogeneity condition. The continuity of these operators in The Lebesgue spaces is well studied by Fabes and Rivie're. Our goal is to extend their results in generalized Morrey spaces with weight satisfying suitable dabbling and integral conditions. A special attention is paid also of the commutators of the kernel with functions of bounded or vanishing mean oscillation.

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