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Some equivalent definitions of Besov spaces of generalized smoothness

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  • Laurent Loosveldt
  • Samuel Nicolay

Abstract

In this paper, we present some alternative definitions of Besov spaces of generalized smoothness, defined via Littlewood–Paley‐type decomposition, involving weak derivatives, polynomials, convolutions and generalized interpolation spaces.

Suggested Citation

  • Laurent Loosveldt & Samuel Nicolay, 2019. "Some equivalent definitions of Besov spaces of generalized smoothness," Mathematische Nachrichten, Wiley Blackwell, vol. 292(10), pages 2262-2282, October.
    • Handle: RePEc:bla:mathna:v:292:y:2019:i:10:p:2262-2282
    DOI: 10.1002/mana.201800111
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    1. Loosveldt, L., 2023. "Multifractional Hermite processes: Definition and first properties," Stochastic Processes and their Applications, Elsevier, vol. 165(C), pages 465-500.

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