Anjing Wang
Abstract
Under the suppose of the kernel satisfying the logarithmic type Lipschitz conditions,the boundedness of the commutator of Marcinkiewicz integral with homogeneous kernel of degree zero is obtained from H1ω(Rn) to Ln/(n-β)ωn/(n-β)(Rn),by the theory of atomic Hardy spaces and the Lp weighted boundedness of the commutator μΩ,b.
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Under the suppose of the kernel satisfying the logarithmic type Lipschitz conditions,the boundedness of the commutator of Marcinkiewicz integral with homogeneous kernel of degree zero is obtained from H1ω(Rn) to Ln/(n-β)ωn/(n-β)(Rn),by the theory of atomic Hardy spaces and the Lp weighted boundedness of the commutator μΩ,b.
Key concepts: Commutator, Mathematics, Lipschitz continuity, Kernel (algebra), Homogeneous, Logarithm, Pure mathematics, Type (biology)