Boundary Theorems of the Gehring-Lohwater and Plessner Type for Polyanalytic Functions

Mark Benevich Balk; Wolfgang Tutschke

doi:10.4171/zaa/585

JournalszaaVol. 11, No. 4pp. 553–558

Boundary Theorems of the Gehring-Lohwater and Plessner Type for Polyanalytic Functions

Mark Benevich Balk
Pedagogical Institute, Smolensk, Russian Federation
- zbMATH Open
Wolfgang Tutschke
Technische Universität Graz, Austria
- MathSciNet
- zbMATH Open

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Abstract

Using methods of the theory of generalized analytic functions, the present paper investigates the boundary behaviour of non-holomorphic functions (such as polyanalytic ones) provided the areolar derivative $\partial / \partial \overset{z}{ˉ}$ belong to an $L_{p}$ space, $p > 2$ .

Cite this article

Mark Benevich Balk, Wolfgang Tutschke, Boundary Theorems of the Gehring-Lohwater and Plessner Type for Polyanalytic Functions. Z. Anal. Anwend. 11 (1992), no. 4, pp. 553–558

DOI 10.4171/ZAA/585