Function algebras of Besov and Triebel-Lizorkin-type

Fares Bensaid; Madani Moussai

Czechoslovak Mathematical Journal (2023)

  • Volume: 73, Issue: 4, page 1281-1300
  • ISSN: 0011-4642

Abstract

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We prove that in the homogeneous Besov-type space the set of bounded functions constitutes a unital quasi-Banach algebra for the pointwise product. The same result holds for the homogeneous Triebel-Lizorkin-type space.

How to cite

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Bensaid, Fares, and Moussai, Madani. "Function algebras of Besov and Triebel-Lizorkin-type." Czechoslovak Mathematical Journal 73.4 (2023): 1281-1300. <http://eudml.org/doc/299403>.

@article{Bensaid2023,
abstract = {We prove that in the homogeneous Besov-type space the set of bounded functions constitutes a unital quasi-Banach algebra for the pointwise product. The same result holds for the homogeneous Triebel-Lizorkin-type space.},
author = {Bensaid, Fares, Moussai, Madani},
journal = {Czechoslovak Mathematical Journal},
keywords = {Littlewood-Paley decomposition; Besov-type space; Triebel-Lizorkin-type space},
language = {eng},
number = {4},
pages = {1281-1300},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Function algebras of Besov and Triebel-Lizorkin-type},
url = {http://eudml.org/doc/299403},
volume = {73},
year = {2023},
}

TY - JOUR
AU - Bensaid, Fares
AU - Moussai, Madani
TI - Function algebras of Besov and Triebel-Lizorkin-type
JO - Czechoslovak Mathematical Journal
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 73
IS - 4
SP - 1281
EP - 1300
AB - We prove that in the homogeneous Besov-type space the set of bounded functions constitutes a unital quasi-Banach algebra for the pointwise product. The same result holds for the homogeneous Triebel-Lizorkin-type space.
LA - eng
KW - Littlewood-Paley decomposition; Besov-type space; Triebel-Lizorkin-type space
UR - http://eudml.org/doc/299403
ER -

References

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