Integral operators on Bσ-Morrey-Campanato spaces
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We show the boundedness of the Hardy-Littlewood maximal operator, singular and fractional integral operators, and more general sublinear operators on Bσ-Morrey-Campanato spaces. These function spaces have been introduced recently to unify central Morrey spaces, λ-central mean oscillation spaces and usual Morrey-Campanato spaces. Using the Bσ-Morrey-Campanato spaces, we can study both local and global regularities of functions simultaneously, and unify a series of results on the boundedness of operators on several classical function spaces.
KeywordsCentral Morrey space Central BMO space Morrey-Campanato space Maximal function Sublinear operator Singular integral operator Fractional integral operator
Mathematics Subject Classification (2000)42B35 46E35 46E30 26A33
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