English

Summing Carleson measure on radial weighted Begman spaces

Complex Variables 2025-09-29 v1

Abstract

For μ\mu is a positive Borel measure on D\mathbb{D}, The rr summing Carleson embdedding Jμ:AwpLq(μ)J_\mu: A_w^p\to L^q(\mu) are characterized in this paper, some conditions which ensure that the Carleson embedding for Jμ:AwpLq(μ)J_\mu: A_w^p\to L^q(\mu) is rr summing are obtained for all 0<p,q<.0<p,q<\infty.

Keywords

Cite

@article{arxiv.2509.22005,
  title  = {Summing Carleson measure on radial weighted Begman spaces},
  author = {Mingjin Li and Jianren Long},
  journal= {arXiv preprint arXiv:2509.22005},
  year   = {2025}
}