Carleson measures for weighted harmonic mixed norm spaces on bounded domains in ℝ n

Ivana Savković

Czechoslovak Mathematical Journal (2022)

  • Volume: 72, Issue: 4, page 1205-1216
  • ISSN: 0011-4642

Abstract

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We study weighted mixed norm spaces of harmonic functions defined on smoothly bounded domains in ℝ n . Our principal result is a characterization of Carleson measures for these spaces. First, we obtain an equivalence of norms on these spaces. Then we give a necessary and sufficient condition for the embedding of the weighted harmonic mixed norm space into the corresponding mixed norm space.

How to cite

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Savković, Ivana. "Carleson measures for weighted harmonic mixed norm spaces on bounded domains in $\mathbb {R}^n$." Czechoslovak Mathematical Journal 72.4 (2022): 1205-1216. <http://eudml.org/doc/298920>.

@article{Savković2022,
abstract = {We study weighted mixed norm spaces of harmonic functions defined on smoothly bounded domains in $\mathbb \{R\}^n$. Our principal result is a characterization of Carleson measures for these spaces. First, we obtain an equivalence of norms on these spaces. Then we give a necessary and sufficient condition for the embedding of the weighted harmonic mixed norm space into the corresponding mixed norm space.},
author = {Savković, Ivana},
journal = {Czechoslovak Mathematical Journal},
keywords = {harmonic function; mixed norm space; Carleson measure},
language = {eng},
number = {4},
pages = {1205-1216},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Carleson measures for weighted harmonic mixed norm spaces on bounded domains in $\mathbb \{R\}^n$},
url = {http://eudml.org/doc/298920},
volume = {72},
year = {2022},
}

TY - JOUR
AU - Savković, Ivana
TI - Carleson measures for weighted harmonic mixed norm spaces on bounded domains in $\mathbb {R}^n$
JO - Czechoslovak Mathematical Journal
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 72
IS - 4
SP - 1205
EP - 1216
AB - We study weighted mixed norm spaces of harmonic functions defined on smoothly bounded domains in $\mathbb {R}^n$. Our principal result is a characterization of Carleson measures for these spaces. First, we obtain an equivalence of norms on these spaces. Then we give a necessary and sufficient condition for the embedding of the weighted harmonic mixed norm space into the corresponding mixed norm space.
LA - eng
KW - harmonic function; mixed norm space; Carleson measure
UR - http://eudml.org/doc/298920
ER -

References

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