On boundedness of Calder��n-Toeplitz operators

Autor:	Hutn��k, Ondrej
Rok vydání:	2011
Předmět:	Mathematics::Functional Analysis 47B35 (Primary) 42C40 47G30 (Secondary) 47L80 Mathematics::Classical Analysis and ODEs FOS: Mathematics FOS: Physical sciences Mathematical Physics (math-ph) Operator Algebras (math.OA) Functional Analysis (math.FA)
DOI:	10.48550/arxiv.1102.3710
Popis:	We study the boundedness of Toeplitz-type operators defined in the context of the Calder��n reproducing formula considering the specific wavelets whose Fourier transforms are related to Laguerre polynomials. Some sufficient conditions for simultaneous boundedness of these Calder��n-Toeplitz operators on each wavelet subspace for unbounded symbols are given, where investigating the behavior of certain sequence of iterated integrals of symbols is helpful. A number of examples and counterexamples is given. 17 pages, v2: small changes after the referee's report and typos corrected
Databáze:	OpenAIRE
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