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FRACTIONAL INTEGRAL OPERATORS ON $\unicode[STIX]{x1D6FC}$ -MODULATION SPACES IN THE FULL RANGE

  • GUOPING ZHAO (a1), WEICHAO GUO (a2) and XIAO YU (a3)

Abstract

We use a unified approach to study the boundedness of fractional integral operators on $\unicode[STIX]{x1D6FC}$ -modulation spaces and find sharp conditions for boundedness in the full range.

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This work is partially supported by the National Natural Science Foundation of China (nos. 11601456, 11701112, 11671414, 11771388, 11371316), China Postdoctoral Science Foundation (no. 2017M612628) and the Natural Science Foundation of Jiangxi Province (no. 20151BAB211002).

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