Singular integral operators with mixed homogeneity in Morrey spaces (Q2762964)
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scientific article; zbMATH DE number 1689814
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Singular integral operators with mixed homogeneity in Morrey spaces |
scientific article; zbMATH DE number 1689814 |
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16 January 2002
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singular integral operator
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Morrey space
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parabolic equation
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regularity
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0.93838775
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0.93601966
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0.9330436
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0.93221015
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0.9311939
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0.9296379
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0.92889434
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Singular integral operators with mixed homogeneity in Morrey spaces (English)
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This paper deals with boundedness in Morrey spaces of singular integral operators with kernels having mixed homogeneity with respect to the corresponding variables. The special case of kernels of homogeneity one in those variables coincides with classical Calderón-Zygmund kernels. In Theorem 1 a sketch of the proof of the boundedness result is given. The authors apply Theorem 1 to a class of linear uniformly parabolic equations with VMO coefficients in a cylinder and prove some Morrey regularity results of the solutions in each cylinder strictly contained in \( Q \).
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