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Volume 37, Issue 3
Boundedness of Area Functions Related to Schrödinger Operators and Their Commutators in Weighted Hardy Spaces

Lin Tang, Jue Wang & Hua Zhu

DOI: 10.4208/ata.2021.lu80.06

Anal. Theory Appl., 37 (2021), pp. 362-386.

Published online: 2021-09

[An open-access article; the PDF is free to any online user.]

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  • Abstract

In this paper, we consider the area function $S_Q$ related to the Schrödinger operator $\mathcal{L}$ and its commutator $S_{Q,b}$, establish the boundedness of $S_Q$ from $H^p_\rho(w)$ to $L^p(w)$ or $WL^p(w),$ as well as the boundedness of $S_{Q,b}$ from $H^1_\rho(w)$ to $WL^1(w).$

  • Keywords

Area functions, Schrödinger operator, weighted Hardy space.

  • AMS Subject Headings

42B25, 42B20

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

tanglin@math.pku.edu.cn (Lin Tang)

Jue.Wang@tufts.edu (Jue Wang)

zhuhua@pku.edu.cn (Hua Zhu)

  • BibTex
  • RIS
  • TXT
@Article{ATA-37-362, author = {Tang , LinWang , Jue and Zhu , Hua}, title = {Boundedness of Area Functions Related to Schrödinger Operators and Their Commutators in Weighted Hardy Spaces}, journal = {Analysis in Theory and Applications}, year = {2021}, volume = {37}, number = {3}, pages = {362--386}, abstract = {

In this paper, we consider the area function $S_Q$ related to the Schrödinger operator $\mathcal{L}$ and its commutator $S_{Q,b}$, establish the boundedness of $S_Q$ from $H^p_\rho(w)$ to $L^p(w)$ or $WL^p(w),$ as well as the boundedness of $S_{Q,b}$ from $H^1_\rho(w)$ to $WL^1(w).$

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2021.lu80.06}, url = {http://global-sci.org/intro/article_detail/ata/19884.html} }
TY - JOUR T1 - Boundedness of Area Functions Related to Schrödinger Operators and Their Commutators in Weighted Hardy Spaces AU - Tang , Lin AU - Wang , Jue AU - Zhu , Hua JO - Analysis in Theory and Applications VL - 3 SP - 362 EP - 386 PY - 2021 DA - 2021/09 SN - 37 DO - http://doi.org/10.4208/ata.2021.lu80.06 UR - https://global-sci.org/intro/article_detail/ata/19884.html KW - Area functions, Schrödinger operator, weighted Hardy space. AB -

In this paper, we consider the area function $S_Q$ related to the Schrödinger operator $\mathcal{L}$ and its commutator $S_{Q,b}$, establish the boundedness of $S_Q$ from $H^p_\rho(w)$ to $L^p(w)$ or $WL^p(w),$ as well as the boundedness of $S_{Q,b}$ from $H^1_\rho(w)$ to $WL^1(w).$

Lin Tang, Jue Wang & Hua Zhu. (1970). Boundedness of Area Functions Related to Schrödinger Operators and Their Commutators in Weighted Hardy Spaces. Analysis in Theory and Applications. 37 (3). 362-386. doi:10.4208/ata.2021.lu80.06
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