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PreprintCC BY-SA 4.0arXiv

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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Cite

BibTeXRIS
BibTeX
@misc{sun2026weighted,
  title = {{Weighted composition--differentiation operators on mixed-norm, derivative Hardy and F(p,q,s) spaces}},
  author = {Jihua Sun and Junming Liu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.19658},
  eprint = {2610.19658},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.19658},
  note = {CC BY-SA 4.0},
}
RIS
TY  - UNPB
TI  - Weighted composition--differentiation operators on mixed-norm, derivative Hardy and F(p,q,s) spaces
AU  - Jihua Sun
AU  - Junming Liu
PY  - 2026
DA  - 2026/10/14
PB  - arXiv
DO  - 10.48550/arxiv.2610.19658
UR  - https://arxiv.org/abs/2610.19658
AB  - 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.
ER  -