Another proof of the boundedness of Calder?n-Zygmund singular integrals on generalized Orlicz spaces

摘要

We use the atomic decomposition of the generalized Orlicz- Hardy space to reprove that Calderon-Zygmund singular integrals are bounded on the generalized Orlicz space, which was obtained in [7, Corollary 6.2] where the authors applied extrapolation on the generalized Orlicz space to prove it. By our method, we assume a weaker regularity on the kernel of Calderon-Zygmund singular integral operators.

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