On some operator-valued Fourier pseudo-multipliers associated to Grushin operators

Sayan Bagchi; Riju Basak; Rahul Garg; Abhishek Ghosh

doi:10.1016/j.jmaa.2024.128498

On some operator-valued Fourier pseudo-multipliers associated to Grushin operators

Analysis of PDEs 2024-08-05 v1 Classical Analysis and ODEs Functional Analysis

Authors: Sayan Bagchi , Riju Basak , Rahul Garg , Abhishek Ghosh

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Abstract

This is a continuation of our work [BBGG23, BBGG22] where we have initiated the study of sparse domination and quantitative weighted estimates for Grushin pseudo-multipliers. In this article, we further extend this analysis to study analogous estimates for a family of operator-valued Fourier pseudo-multipliers associated to Grushin operators $G = - \Delta_{x^{\prime}} - |x^{\prime}|^2 \Delta_{x^{\prime \prime}}$ on $\mathbb{R}^{n_1+n_2}.$

Keywords

Grushin operators Fourier pseudo-multipliers operator-valued sparse domination weighted estimates

Cite

@article{arxiv.2307.09743,
  title  = {On some operator-valued Fourier pseudo-multipliers associated to Grushin operators},
  author = {Sayan Bagchi and Riju Basak and Rahul Garg and Abhishek Ghosh},
  journal= {arXiv preprint arXiv:2307.09743},
  year   = {2024}
}

Comments

This work consists of results extracted from arXiv:2112.06634v1. arXiv admin note: substantial text overlap with arXiv:2112.06634

On some operator-valued Fourier pseudo-multipliers associated to Grushin operators

Abstract

Keywords

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