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Multi-Morrey spaces for non-doubling measures

Suixin He — 2019

Czechoslovak Mathematical Journal

The spaces of multi-Morrey type for positive Radon measures satisfying a growth condition on d are introduced. After defining the spaces, we investigate the multilinear maximal function, the multilinear fractional integral operator and the multilinear Calderón-Zygmund operators, respectively, from multi-Morrey spaces to Morrey spaces.

The factorization of the weighted Hardy space in terms of multilinear Calderón-Zygmund operators

Suixin HeShuangping Tao — 2023

Czechoslovak Mathematical Journal

We give a constructive proof of the factorization theorem for the weighted Hardy space in terms of multilinear Calderón-Zygmund operators. The result is also new even in the linear setting. As an application, we obtain the characterization of weighted BMO space via the weighted boundedness of commutators of the multilinear Calderón-Zygmund operators.

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