The Mittag Leffler space & its Littlewood-Paley Identity
Himanshu Singh
TL;DR
This paper establishes a Littlewood-Paley Identity for Mittag-Leffler spaces of entire functions and explores its implications for the compactness of weighted composition operators.
Contribution
It introduces a Littlewood-Paley Identity specific to Mittag-Leffler spaces and links it to the properties of weighted composition operators.
Findings
Derived the Littlewood-Paley Identity for ML2(C; α)
Connected the identity to the compactness criteria of weighted composition operators
Enhanced understanding of function space structure and operator behavior
Abstract
We present the Littlewood-Paley Identity for the Mittag-Leffler space ML2(C; {\alpha}) of entire functions. We also briefly demonstrate the connection between the Littlewood-Paley Identity and the compactness of the weighted composition operator on ML2(C; {\alpha}).
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Taxonomy
TopicsHolomorphic and Operator Theory · Algebraic and Geometric Analysis · Advanced Topics in Algebra