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2013•Unpublished venueRequires access

Boundedness of the commtators for Marcinkiewicz operators in Hardy space with non-doubling measures

Liang Li

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Abstract

Under the assumption thatμonly satisfies the Polynomial growth condition,the authorsestablish the(H~1(μ),L~q(μ)) boundedness of the commutator M_b generated by the Marcinkiewiczoperator M and Lip_β(μ) function,and also the(L~(n/β)(μ),RBMO(μ)) boudedness is obtained.

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What this paper is about

Under the assumption thatμonly satisfies the Polynomial growth condition,the authorsestablish the(H~1(μ),L~q(μ)) boundedness of the commutator M_b generated by the Marcinkiewiczoperator M and Lip_β(μ) function,and also the(L~(n/β)(μ),RBMO(μ)) boudedness is obtained.

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Available abstract

Under the assumption thatμonly satisfies the Polynomial growth condition,the authorsestablish the(H~1(μ),L~q(μ)) boundedness of the commutator M_b generated by the Marcinkiewiczoperator M and Lip_β(μ) function,and also the(L~(n/β)(μ),RBMO(μ)) boudedness is obtained.

Key concepts: Mathematics, Hardy space, Space (punctuation), Pure mathematics, Philosophy, Linguistics

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