Weighted composition--differentiation operators on mixed-norm, derivative Hardy and F(p,q,s) spaces

Jihua Sun; Junming Liu

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arXiv · 2610.19658

Weighted composition--differentiation operators on mixed-norm, derivative Hardy and F(p,q,s) spaces

Jihua Sun·Junming Liu

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Abstract

We study weighted composition--differentiation operators on mixed-norm, derivative Hardy and F(p,q,s) spaces. Explicit dyadic criteria yield boundedness, compactness and two-sided norm and essential-norm estimates, including endpoint and quasi-Banach cases. We also obtain multiplier and approximation results, Schatten criteria on weighted Dirichlet spaces, and exact singular values for monomial weights and linear symbols.

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Jihua Sun, Junming Liu. 2026-10-14. Weighted composition--differentiation operators on mixed-norm, derivative Hardy and F(p,q,s) spaces. https://arxiv.org/abs/2610.19658

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