On the boundedness of non-integer dimension Calderón-Zygmund Operators with antisymmetric kernels

preprint2016arXivOpen access

We characterize the non-atomic measures $μ$ for which all Calderón-Zygmund operators with antisymmetric kernels of a fixed non-integer dimension $s$ are bounded in $L^2(μ)$ in terms of a positive quantity, the Wolff energy.

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On the boundedness of non-integer dimension Calderón-Zygmund Operators with antisymmetric kernels

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