Shanzhen Lu, Xu Lifang
Abstract
In this paper, the authors study the boundedness of the operator [μΩ,b], the commutator generated by a functionb∈Lip β (ℝ n )(0<β≤1) and the Marcinkiewicz integrals \gm\gW, on the classical Hardy spaces and the Herz-type Hardy spaces in the case Ω∈Lipα(S n−1)(0<≤1).
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In this paper, the authors study the boundedness of the operator [μΩ,b], the commutator generated by a functionb∈Lip β (ℝ n )(0<β≤1) and the Marcinkiewicz integrals \gm\gW, on the classical Hardy spaces and the Herz-type Hardy spaces in the case Ω∈Lipα(S n−1)(0<≤1).
Key concepts: Commutator, Mathematics, Hardy space, Type (biology), Pure mathematics, Operator (biology), Mathematical analysis, Algebra over a field