This article is cited in 3 papers

$L_p$-spaces of functions analytic in a region with piecewise analytic boundary

A. M. Shikhvatov

Far Eastern National University

Abstract: In this paper we study classes of analytic functions which are $p$-th power summable in a region with piecewise analytic boundary. We also study the spaces conjugate to these spaces and the question of the existence of a basis in these spaces.

UDC: 517

Received: 26.12.1974

 English version: Mathematical Notes, 1976, 20:4, 858–864

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