Weighted multi-parameter mixed Hardy spaces and their applications

Wei Ding; Yun Xu; Yueping Zhu

Czechoslovak Mathematical Journal (2022)

  • Volume: 72, Issue: 3, page 709-734
  • ISSN: 0011-4642

Abstract

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Applying discrete Calderón’s identity, we study weighted multi-parameter mixed Hardy space H mix p ( ω , ℝ n 1 × ℝ n 2 ) . Different from classical multi-parameter Hardy space, this space has characteristics of local Hardy space and Hardy space in different directions, respectively. As applications, we discuss the boundedness on H mix p ( ω , ℝ n 1 × ℝ n 2 ) of operators in mixed Journé’s class.

How to cite

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Ding, Wei, Xu, Yun, and Zhu, Yueping. "Weighted multi-parameter mixed Hardy spaces and their applications." Czechoslovak Mathematical Journal 72.3 (2022): 709-734. <http://eudml.org/doc/298420>.

@article{Ding2022,
abstract = {Applying discrete Calderón’s identity, we study weighted multi-parameter mixed Hardy space $H^\{p\}_\{\rm mix\}(\omega ,\mathbb \{R\}^\{n_\{1\}\}\times \mathbb \{R\}^\{n_\{2\}\})$. Different from classical multi-parameter Hardy space, this space has characteristics of local Hardy space and Hardy space in different directions, respectively. As applications, we discuss the boundedness on $H^\{p\}_\{\rm mix\}(\omega ,\mathbb \{R\}^\{n_\{1\}\}\times \mathbb \{R\}^\{n_\{2\}\})$ of operators in mixed Journé’s class.},
author = {Ding, Wei, Xu, Yun, Zhu, Yueping},
journal = {Czechoslovak Mathematical Journal},
keywords = {weight; multi-parameter; mixed Hardy spaces; singular integral operator},
language = {eng},
number = {3},
pages = {709-734},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Weighted multi-parameter mixed Hardy spaces and their applications},
url = {http://eudml.org/doc/298420},
volume = {72},
year = {2022},
}

TY - JOUR
AU - Ding, Wei
AU - Xu, Yun
AU - Zhu, Yueping
TI - Weighted multi-parameter mixed Hardy spaces and their applications
JO - Czechoslovak Mathematical Journal
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 72
IS - 3
SP - 709
EP - 734
AB - Applying discrete Calderón’s identity, we study weighted multi-parameter mixed Hardy space $H^{p}_{\rm mix}(\omega ,\mathbb {R}^{n_{1}}\times \mathbb {R}^{n_{2}})$. Different from classical multi-parameter Hardy space, this space has characteristics of local Hardy space and Hardy space in different directions, respectively. As applications, we discuss the boundedness on $H^{p}_{\rm mix}(\omega ,\mathbb {R}^{n_{1}}\times \mathbb {R}^{n_{2}})$ of operators in mixed Journé’s class.
LA - eng
KW - weight; multi-parameter; mixed Hardy spaces; singular integral operator
UR - http://eudml.org/doc/298420
ER -

References

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