Square-like Functions Generated by a Composite Wavelet Transform

Autor:	Ilham A. Aliev, Simten Bayrakci
Rok vydání:	2010
Předmět:	Harmonic analysis Mathematics::Functional Analysis General Mathematics Composite number Mathematical analysis Mathematics::Classical Analysis and ODEs Wavelet transform New variant Square (algebra) Mathematics Connection (mathematics)
Zdroj:	Mediterranean Journal of Mathematics. 8:553-561
ISSN:	1660-5454 1660-5446
DOI:	10.1007/s00009-010-0084-6
Popis:	The classical square functions play important role in Harmonic Analysis and have a very direct connection with L (2)-estimates and Littlewood-Paley theory. In this paper we introduce a new variant of square-like functions generated by some composite wavelet transform. We establish Caldern-type reproducing formula and then prove L (2)-boundedness of newly defined square-like functions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7e5c2a4085b2328c1629d5862b0411a6 https://doi.org/10.1007/s00009-010-0084-6 Zobrazit plný text záznamu Full text from SpringerLink