Fractional integral associated with the Schrodinger operators on variable exponent space

ELECTRONIC RESEARCH ARCHIVE（2023）

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摘要

Let L= -Delta+V be the Schr & ouml;dinger operators on R-n with nonnegative potential V belonging to the reverse H & ouml;lder class RHq for some q >= n/2. We prove the boundedness of fractional integral operator I-alpha related to the Schr & ouml;dinger operators L from strong and weak variable exponent Lebesgue spaces into suitable variable exponent Lipschitz type spaces.

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关键词

Lipschitz spaces, fractional integral operators, Schro center dot dinger operators, variable exponent spaces

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