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2011•Journal of MathematicsRequires access

BOUNDEDNESS FOR THE COMMUTATORS OF SINGULAR INTEGRAL WITH ROUGH KERNEL

Yueping Zhu

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Abstract

We discuss the boundedness of the commutators generated by the singular integral operators with rough kernels and BMO functions. By atomic decomposition, we get that the commutators TΩb of the singular integral operators with rough kernels are bounded on Lp space, Hardy space, weak Hardy space. They are the extensions of the results of the boundedness of the commutators Tb on some kinds of function spaces.

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What this paper is about

We discuss the boundedness of the commutators generated by the singular integral operators with rough kernels and BMO functions. By atomic decomposition, we get that the commutators TΩb of the singular integral operators with rough kernels are bounded on Lp space, Hardy space, weak Hardy space. They are the extensions of the results of the boundedness of the commutators Tb on some kinds of function spaces.

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Available abstract

We discuss the boundedness of the commutators generated by the singular integral operators with rough kernels and BMO functions. By atomic decomposition, we get that the commutators TΩb of the singular integral operators with rough kernels are bounded on Lp space, Hardy space, weak Hardy space. They are the extensions of the results of the boundedness of the commutators Tb on some kinds of function spaces.

Key concepts: Mathematics, Singular integral operators, Singular integral, Hardy space, Bounded function, Kernel (algebra), Pure mathematics, Commutator

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