On some extensions of theorems on atomic decompositions of Bergman and Bloch spaces in the unit ball and related problems

Abstract

In this article we obtain the atomic decomposition for multifunctional weighted Bergman spaces and multifunctional Bloch spaces. Also we get some new estimates for various multifunctional expressions extending the known ones.

Keywords:

• weighted Bergman space
• Bloch space
• multifunction
• atomic decomposition

AMS Subject Classification::

• 32A12