Unconditional Bases for Homogeneous α-Modulation Type Spaces

Morten Nielsen

doi:10.1007/s00009-022-02001-w

Unconditional Bases for Homogeneous α-Modulation Type Spaces

Morten Nielsen^*

^*Kontaktforfatter

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

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Abstract

We construct orthonormal bases compatible with bi-variate homogeneous α-modulation spaces and the associated spaces of Triebel–Lizorkin type. The construction is based on generating a separable α-covering and using carefully selected tensor products of univariate brushlet functions with regard to this covering. We show that the associated systems form an unconditional bases for the homogeneous α-spaces of Triebel–Lizorkin type.

Originalsprog	Engelsk
Artikelnummer	55
Tidsskrift	Mediterranean Journal of Mathematics
Vol/bind	19
Udgave nummer	2
ISSN	1660-5446
DOI	https://doi.org/10.1007/s00009-022-02001-w
Status	Udgivet - apr. 2022

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© 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

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10.1007/s00009-022-02001-w

unconditional_bases_alphamodAccepteret manuskript, 922 KB

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Unconditional Bases for Homogeneous α-Modulation Type Spaces

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