Weighted composition operators between weighted Hardy spaces on rooted trees

2021/12/15 by Muthukumar, P., Sharma, Ajay K., Kumar, Vivek
#05C05 #37E25 #46B50 #47B33 #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Primary: 47B38 #Secondary: 30H10

paper · doi:10.48550/arxiv.2112.08323

Abstract

In this paper, we introduce a discrete analogue of weighted Hardy spaces on rooted trees and study weighted composition operators between them in detail. In particular, we characterize bounded and compact weighted composition operators between discrete Hardy spaces. We also consider isometric weighted composition operators between these spaces.

Related

• Weighted composition operators acting from the Lipschitz space to the space of bounded functions on a tree
• Composition operators on Hardy spaces of the homogenous rooted trees
• Composition operators on the discrete analogue of generalized Hardy\n space on homogenous trees
• Composition operators on weighted L^p spaces of a tree
• Weighted composition, Volterra and Integral operators on Hardy Zygmund-type spaces