Structural Properties in Classes of Holomorphic Functions on the Half-Plane

D. A. Efimov

M. V. Lomonosov Moscow State University

Abstract: Diverse structural properties for classes of holomorphic functions (defined by means of maximal functions) are proved, including the Riesz convergence theorem and a factorization theorem.

Keywords: holomorphic function, vertical maximal function, Riesz convergence theorem, Krylov function class, subharmonic function, harmonic majorant, Banach space.

UDC: 517.538

Received: 01.11.2006

DOI: 10.4213/mzm4713

 English version: Mathematical Notes, 2008, 83:5, 604–609

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