MULTIPLIERS OF WEIGHTED BLOCH SPACES AND BESOV SPACES

Abstract

Let M (X) be the space of all pointwise multipliers of Banach space X. We will show that, for each α > 1, M (Bα) = M (Bα,0) = H∞(B). We will also show that, for each 0 < α < 1, M (Bα) and M (Bα,0) are Banach algebras. It is established that certain inclusion relationships exist between the weighted Bloch spaces and holomorphic Besov spaces.

This article was migrated from the previous system via automation. The abstract may not be written correctly. Please view the PDF file.