August 16, 2024Open Access

Properties of Besov and Qₚ spaces in terms of the Schwarzian derivative of harmonic mappings

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Abstract

In this paper we give a characterization of Jf belongs to Bₚ or Qₚ spaces for any locally univalent sense-preserving harmonic mappings f defined in the unit disk, using the Schwarzian derivative of f and Carleson meseaure. In addition, we introduce the classes BTₚ and QTₚ, based on the Jacobian operator, and begin a study of these.

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Cite This Study

Arbeláez et al. (Fri,) studied this question.

synapsesocial.com/papers/68e5c0e5b6db6435875586a6 https://doi.org/https://doi.org/10.48550/arxiv.2408.09062

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