Boundedness of fractional integral operators on Musielak–Orlicz Hardy spaces
Duong Quoc Huy, Luong Dang Ky
Abstract
Abstract Let and let be Musielak–Orlicz functions such that , are Orlicz functions and , are Muckenhoupt weights. In this paper, we give the necessary and sufficient condition for the boundedness of the fractional integral operator from the Musielak–Orlicz Hardy space into the Musielak–Orlicz Hardy space . We also give the necessary and sufficient condition for the boundedness of from into the Musielak–Orlicz space . Our results generalize the main results in [5, 20, 21].
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MathematicsHardy spacePure mathematicsSpace (punctuation)Operator (biology)Mathematical analysisComputer scienceRepressorTranscription factorBiochemistryGeneChemistryOperating systemAdvanced Harmonic Analysis ResearchHolomorphic and Operator TheoryAdvanced Banach Space Theory