Properties of Besov and $Q_p$ spaces in terms of the Schwarzian derivative of harmonic mappings
In this paper we give a characterization of $\log J_f$ belongs to $\widetilde{\mathcal{B}}_p$ or $\widetilde{\mathcal{Q}}_p$ 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...
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| Sprache: | eng |
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| Zusammenfassung: | In this paper we give a characterization of $\log J_f$ belongs to
$\widetilde{\mathcal{B}}_p$ or $\widetilde{\mathcal{Q}}_p$ 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 $\mathcal{BT}_p$ and $\mathcal{QT}_p$, based
on the Jacobian operator, and begin a study of these. |
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| DOI: | 10.48550/arxiv.2408.09062 |