Results in Mathematics

, Volume 33, Issue 1–2, pp 106–119 | Cite as

A φ-Transform Result for Spaces with Dominating Mixed Smoothness Properties

  • Reinhard Hochmuth
Article

Abstract

This note is concerned with spaces of functions possessing dominating mixed smoothness properties. In particular, it includes the proof of a φ-transform result for those function spaces of Triebel-Lizorkin type. This result relates mixed smoothness properties to sequence space norms depending only on magnitudes.

En]Keywords

Dominating mixed smoothness function spaces nonorthogonal expansions Littlewood-Paley decompositions 

AMS subject classification

42B25 42C15 46F99 

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Copyright information

© Birkhäuser Verlag, Basel 1998

Authors and Affiliations

  • Reinhard Hochmuth

There are no affiliations available

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