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

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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.

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    1. Reinhard Hochmuth
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    The work of the author has been supported by the Graduiertenkolleg ”Analyse und Konstruktion in der Mathematik” funded by the Deutsche Forschungsgemeinschaft at the RWTH-Aachen.

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    Hochmuth, R. A φ-Transform Result for Spaces with Dominating Mixed Smoothness Properties. Results. Math. 33, 106–119 (1998). https://doi.org/10.1007/BF03322075

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