On maximal and potential operators with rough kernels in variable exponent spaces (Q530637)

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scientific article; zbMATH DE number 6610792
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On maximal and potential operators with rough kernels in variable exponent spaces
scientific article; zbMATH DE number 6610792

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    On maximal and potential operators with rough kernels in variable exponent spaces (English)
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    10 August 2016
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    Summary: In the framework of variable exponent Lebesgue and Morrey spaces, we prove some boundedness results for operators with rough kernels, such as the maximal operator, fractional maximal operator, sharp maximal operators and fractional operators. The approach is based on some pointwise estimates.
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    maximal operator
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    fractional maximal operator
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    potential operators
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    fractional integral operators
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    rough kernels
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    variable exponent Lebesgue spaces
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    variable exponent Morrey spaces
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