We characterize log Jf in Besov and Qp spaces for harmonic mappings, suggesting new classes for analysis.
In this paper we give a characterization of log Jf belongs to B̃_p or Q̃_p spaces for any locally univalent sense-preserving harmonic mappings f defined in the unit disk, using the Schwarzian derivative of f and Carleson measure. In addition, we introduce the classes BT_p and QT_p , based on the Jacobian operator, and initiate a study of these spaces.
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Arbeláez et al. (2025) studied this question.
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