Closed Range Integral Operators on Hardy, BMOA and Besov Spaces
Kostas Panteris
TL;DR
This paper characterizes when the integral operator Sg has a closed range on Hardy, BMOA, and Besov spaces by establishing three necessary and sufficient conditions.
Contribution
It provides the first complete characterization of closed range conditions for Sg on these function spaces.
Findings
Three necessary and sufficient conditions for closed range of Sg.
Characterization applies to Hardy Hp, BMOA, and Besov Bp spaces.
Results enhance understanding of integral operators in complex analysis.
Abstract
In this paper, we prove three necessary and sufficient conditions for the integral operator Sg to have closed range on Hardy Hp (1<p<\infty), BMOA and Besov Bp (1<p<\infty) spaces.
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