Positive Toeplitz Operators from a Weighted Harmonic Bloch Space into Another

Ömer Faruk Doğan

Positive Toeplitz Operators from a Weighted Harmonic Bloch Space into Another

Complex Variables 2023-05-22 v1 Functional Analysis

Authors: Ömer Faruk Doğan

Abstract

We define positive Toeplitz operators between weighted harmonic Bloch spaces $b^\infty_\alpha$ on the unit ball of $\mathbb{R}^n$ for the full range of parameter $\alpha\in\mathbb{R}$ . We give characterizations of bounded and compact Toeplitz operators taking one weighted harmonic Bloch space into a\-not\-her in terms of Carleson and vanishing Carleson measures.

Keywords

toeplitz operators truncated toeplitz operators bergman spaces

Cite

@article{arxiv.2305.11621,
  title  = {Positive Toeplitz Operators from a Weighted Harmonic Bloch Space into Another},
  author = {Ömer Faruk Doğan},
  journal= {arXiv preprint arXiv:2305.11621},
  year   = {2023}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2202.12771

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