The boundedness of one-sided potential operators defined, generally speaking, with respect to a Borel measure mu, in the classical and central Morrey spaces is established. Weighted estimates for these operators in the case of power-type weights are derived in central Morrey spaces and in complementary central Morrey spaces. Similar problems are studied for vanishing Morrey spaces.

One-sided potentials in weighted central Morrey spaces published version

Ragusa Maria Alessandra
2023-01-01

Abstract

The boundedness of one-sided potential operators defined, generally speaking, with respect to a Borel measure mu, in the classical and central Morrey spaces is established. Weighted estimates for these operators in the case of power-type weights are derived in central Morrey spaces and in complementary central Morrey spaces. Similar problems are studied for vanishing Morrey spaces.
2023
One-sided potentials; Fractional integrals; Power-type weights; Central Morrey spaces; Complementary Morrey spaces; Vanishing Morrey spaces; Boundedness
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/591189
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