For the holomorphic Besov spaces B p s in the unit ball of C n , we study necessary and sufficient conditions on holomorphic functions g 1 , g 2 so that the operator (f 1 , f 2 ) → g 1 f 1 + g 2 f 2
The goal of this work is to obtain characterizations of the holomorphic Triebel Lizorkin spaces in terms of Littlewood Paley functions, admissible area functions, complex tangential derivatives, and boundary values. Furthermore, we obtain results on duality, complex interpolation, and traces on submanifolds.1997 Academic Press
We compute the norm of pointwise multiplication operators, Toeplitz and Big Hankel operators with antiholomorphic symbols, defined on Besov spaces. These norms will be given in terms of Carleson measures for Besov spaces related to the symbol. (2000). Primary 47B35; Secondary 32A37.
Mathematics Subject Classification
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.