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