NOTE ON THE NORM OF LINEAR COMBINATIONS OF A CLASS OF LINEAR OPERATORS

Authors:	Stević, Stevo
Affiliations:	Mathematics Mathematical Institute of the Serbian Academy of Sciences and Arts
Title:	NOTE ON THE NORM OF LINEAR COMBINATIONS OF A CLASS OF LINEAR OPERATORS
Journal:	Journal of Mathematical Inequalities
Volume:	19
Issue:	1
First page:	637
Last page:	647
Issue Date:	2025
Rank:	M21
ISSN:	1846-579X
DOI:	10.7153/jmi-2025-19-39
Abstract:	Let H(D) be the space of analytic functions on the open unit disk D in the complex plane C, S(D) = {f ε H(D): f (D) ⊆ D}, K (D) the space of Cauchy transforms on D, W^(m) w (D) the mth weighted type space on D with the weight function w and m εN0, W^(m) w,0 (D) the little m th weighted type space on D, and where We find the norm of the operator Ls: K (D) → W^(m) w (D) in terms of above-mentioned parameters and symbols, and present a characterization for the boundedness of the operator Ls: K (D) → W^(m) w,0 (D), considerably extending several recent results in the literature.
Keywords:	norm of an operator \| open unit disk \| Product type operator \| spaces of analytic functions
Publisher:	Element D.O.O.

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