Singular integral operators on 53-0153-0153-01-spaces |
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Authors: | Eiichi Nakai Kôzô Yabuta |
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Affiliation: | (1) Present address: Yuki Daiichi Senior High School, 1076 Yuki, Yuki-shi, 307 Ibaraki-ken, Japan;(2) Present address: Department of Mathematics, Ibaraki University, Mito, 310 Ibaraki, Japan |
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Abstract: | Summary It is shown that certain singular integral operators with variable kernels leave invariant theLv,-spaces studied by Campanato, Stampacchia, Peetre and others. Our results extend Peetre's work on convolution operators. |
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