2002•Illinois Journal of MathematicsOpen access

On an extension of Calderón-Zygmund operators

Leslie Cheng, Yibiao Pan

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Abstract

We establish the $L^p$ boundedness for a class of singular integral operators under the $H^1$ kernel condition. These operators were introduced by Duoandikoetxea and Rubio de Francia as an extension of the classical Calderón-Zygmund operators.

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We establish the $L^p$ boundedness for a class of singular integral operators under the $H^1$ kernel condition. These operators were introduced by Duoandikoetxea and Rubio de Francia as an extension of the classical Calderón-Zygmund operators.

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Available abstract

We establish the $L^p$ boundedness for a class of singular integral operators under the $H^1$ kernel condition. These operators were introduced by Duoandikoetxea and Rubio de Francia as an extension of the classical Calderón-Zygmund operators.

Key concepts: Mathematics, Extension (predicate logic), Singular integral operators, Pure mathematics, Kernel (algebra), Class (philosophy), Operator theory, Singular integral operators of convolution type

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