R. F. Shamoyan, E. B. Tomashevskaya, “On new sharp theorems for multifunctional BMOA type spaces in bounded pseudoconvex domains”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2020, Volume 32, Number 3,Pages <nobr>102

This article is cited in 1 paper

MATHEMATICS

On new sharp theorems for multifunctional BMOA type spaces in bounded pseudoconvex domains

R. F. Shamoyan^a, E. B. Tomashevskaya^b

^a Department of Mathematical Analysis, Bryansk State University named after Academician I. G. Petrovsky
^b Bryansk State Technical University, Department of Mathematics

Abstract: We provide new equivalent expressions in the unit ball and pseudoconvex domains for multifunctional analytic BMOA type space. We extend in various directions a known theorem of atomic decomposition of BMOA type spaces in the unit ball.

Keywords: unit ball, analytic functions, analytic spaces, pseudoconvex domain, Hardy spaces, Bergman spaces, BMOA type spaces.

UDC: 517.55+517.33

MSC: Primary 32A07; Secondary 432A10, 32A07

Language: English

DOI: 10.26117/2079-6641-2020-32-3-102-113