A generalization to the Hardy-Sobolev spaces H k , p of an L p - L 1 logarithmic type estimate

Imed Feki; Ameni Massoudi; Houda Nfata

Czechoslovak Mathematical Journal (2018)

  • Volume: 68, Issue: 2, page 387-414
  • ISSN: 0011-4642

Abstract

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The main purpose of this article is to give a generalization of the logarithmic-type estimate in the Hardy-Sobolev spaces H k , p ( G ) ; k ∈ ℕ * , 1 ≤ p ≤ ∞ and G is the open unit disk or the annulus of the complex space ℂ .

How to cite

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Feki, Imed, Massoudi, Ameni, and Nfata, Houda. "A generalization to the Hardy-Sobolev spaces $H^{k,p}$ of an $L^p$-$L^1$ logarithmic type estimate." Czechoslovak Mathematical Journal 68.2 (2018): 387-414. <http://eudml.org/doc/294324>.

@article{Feki2018,
abstract = {The main purpose of this article is to give a generalization of the logarithmic-type estimate in the Hardy-Sobolev spaces $H^\{k,p\}(G)$; $k \in \{\mathbb \{N\}\}^*$, $1 \le p \le \infty $ and $G$ is the open unit disk or the annulus of the complex space $\mathbb \{C\}$.},
author = {Feki, Imed, Massoudi, Ameni, Nfata, Houda},
journal = {Czechoslovak Mathematical Journal},
keywords = {annular domain; Poisson kernel; Hardy-Sobolev space; logarithmic estimate},
language = {eng},
number = {2},
pages = {387-414},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A generalization to the Hardy-Sobolev spaces $H^\{k,p\}$ of an $L^p$-$L^1$ logarithmic type estimate},
url = {http://eudml.org/doc/294324},
volume = {68},
year = {2018},
}

TY - JOUR
AU - Feki, Imed
AU - Massoudi, Ameni
AU - Nfata, Houda
TI - A generalization to the Hardy-Sobolev spaces $H^{k,p}$ of an $L^p$-$L^1$ logarithmic type estimate
JO - Czechoslovak Mathematical Journal
PY - 2018
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 68
IS - 2
SP - 387
EP - 414
AB - The main purpose of this article is to give a generalization of the logarithmic-type estimate in the Hardy-Sobolev spaces $H^{k,p}(G)$; $k \in {\mathbb {N}}^*$, $1 \le p \le \infty $ and $G$ is the open unit disk or the annulus of the complex space $\mathbb {C}$.
LA - eng
KW - annular domain; Poisson kernel; Hardy-Sobolev space; logarithmic estimate
UR - http://eudml.org/doc/294324
ER -

References

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