Multivariate Haar systems in Besov function spaces

dc.contributor.author	Peter Oswald
dc.date.accessioned	2024-08-08T12:41:22Z
dc.date.available	2024-08-08T12:41:22Z
dc.date.issued	03.2020
dc.identifier.uri	https://hdl.handle.net/20.500.11811/11798
dc.description.abstract	We determine all cases for which the d-dimensional Haar wavelet system H^d on the unit cube I^d is a conditional or unconditional Schauder basis in the classical isotropic Besov function spaces B^s_p,q,1(I^d), 0 < p, q < ∞, 0 ≤ s < 1/p, defined in terms of first-order L_p moduli of smoothness. We obtain similar results for the tensor-product Haar system H^d, and characterize the parameter range for which the dual of B^s_p,q,1(I^d) is trivial for 0 < p < 1.	en
dc.format.extent	36
dc.language.iso	eng
dc.relation.ispartofseries	INS Preprints ; 2002
dc.rights	In Copyright
dc.rights.uri	http://rightsstatements.org/vocab/InC/1.0/
dc.subject	Haar system
dc.subject	Besov spaces
dc.subject	Schauder bases in quasi-Banach spaces
dc.subject	unconditional convergence
dc.subject	piecewise constant approximation
dc.subject.ddc	510 Mathematik
dc.subject.ddc	518 Numerische Analysis
dc.title	Multivariate Haar systems in Besov function spaces
dc.type	Preprint
dc.publisher.name	Institut für Numerische Simulation (INS)
dc.publisher.location	Bonn
dc.rights.accessRights	openAccess
dc.relation.doi	https://doi.org/10.1070/SM9398
ulbbn.pubtype	Zweitveröffentlichung
dcterms.bibliographicCitation.url	https://ins.uni-bonn.de/publication/preprints

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