Some equivalent definitions for weighted Korenblum and Bloch-type spaces of the upper half-plane

TL;DR

This paper provides new equivalent characterizations of weighted Korenblum and Bloch spaces in the upper half-plane using symbols of bounded Hankel operators, enhancing understanding of these function spaces.

Contribution

It introduces novel equivalent definitions for weighted Korenblum and Bloch spaces based on bounded Hankel operators, connecting operator theory with function space characterizations.

Findings

Characterizations of weighted Korenblum spaces via Hankel symbols

Characterizations of Bloch spaces via Hankel symbols

Enhanced understanding of function space structures

Abstract

In this paper, we prove some equivalent characterizations of weighted Korenblum spaces and Bloch spaces in terms of symbols of bounded Hankel operators.