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Approximations in lp and Morrey sequence spaces.

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Contributed by Nickolai Kudryavtsev ↗

Version 1 / Oct 20, 2026 / CC BY 4.0

Abstract

In this paper we introduce positive order differences for sequences and study approximations in lp and Morrey sequence spaces.

Provenance statement

Discrete analogs of classical functional spaces have often attracted the attention of various mathematicians. I was unable to find any description of discrete Besov spaces in terms of differences in the literature. I decided to fill this gap, and this led to the creation of this paper.

References

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Show all 14 referencesShow fewer references
  1. Y. Sawano, Theory of Besov Spaces , Springer Singapore, 2018.
  2. Y. Sawano, G. Di Fazio and D.I. Hakim, Morrey spaces: introduction and applications to integral operators and PDE's , Volume I, Chapman and Hall/CRC, New York, 2020.
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Version history

  1. v1Submitted by Nickolai KudryavtsevInitial depositCurrentOct 19, 2026