Spectral multipliers, Bochner-Riesz means and uniform Sobolev inequalities for elliptic operators

Adam Sikora, Lixin Yan, Xiaohua Yao

Type: Preprint

Publication Date: 2015-01-01

Citations: 3

DOI: https://doi.org/10.48550/arxiv.1506.04883

View Publication

Locations

arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Spectral Multipliers, Bochner–Riesz Means and Uniform Sobolev Inequalities for Elliptic Operators	2016	Adam Sikora Lixin Yan Xiaohua Yao
+	Spectral Multipliers II: Elliptic and Parabolic Operators and Bochner-Riesz Means	2023	Marius Beceanu Michael Goldberg
+	Restriction estimates, sharp spectral multipliers and endpoint estimates for Bochner-Riesz means	2012	Peng Chen El Maati Ouhabaz Adam Sikora Lixin Yan
+	Spectral multiplier theorems via $H^\infty$ calculus and $R$-bounds	2016	Christoph Kriegler Lutz Weis
+	Bounds on the maximal Bochner-Riesz means for elliptic operators	2018	Peng Chen Sanghyuk Lee Adam Sikora Lixin Yan
+ PDF Chat	Restriction estimates, sharp spectral multipliers and endpoint estimates for Bochner-Riesz means	2016	Peng Chen El Maati Ouhabaz Adam Sikora Lixin Yan
+	Weighted inequalities for Fourier multiplier operators of Bochner–Riesz type on $$ \mathbb{R} ^2$$	2023	Shūichi Satō
+	Riesz transforms and multipliers for the Bessel-Grushin operator	2013	Víctor Almeida Jorge J. Betancor Alejandro J. Castro Kishin Sadarangani
+	Riesz transforms and multipliers for the Bessel-Grushin operator	2013	Víctor Almeida Jorge J. Betancor Alejandro J. Castro Kishin Sadarangani
+	Sharp weighted $L^p$ estimates for spectral multipliers	2011	The Anh Bui
+	Sharp weighted $L^p$ estimates for spectral multipliers	2011	Anh Tuan Bui
+	Weighted norm inequalities, Gaussian bounds and sharp spectral multipliers	2010	Xuan Thinh Duong Adam Sikora Lixin Yan
+	Carleman estimates and boundedness of associated multiplier operators	2018	Eun-Hee Jeong Yehyun Kwon Sanghyuk Lee
+ PDF Chat	Riesz transforms and multipliers for the Bessel-Grushin operator	2016	Víctor Almeida Jorge J. Betancor Alejandro J. Castro Kishin Sadarangani
+	Endpoint bounds for a class of spectral multipliers on compact manifolds	2016	Jongchon Kim
+	Sharp spectral multipliers for Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates	2012	Peng Chen
+	Sharp spectral multipliers for a new class of Grushin type operators	2012	Peng Chen Adam Sikora
+	Bochner-Riesz profile of anharmonic oscillator ${\mathcal L}=-\frac{d^2}{dx^2}+\|x\|$	2014	Peng Chen Waldemar Hebisch Adam Sikora
+	Boundedness of spectral multipliers for Schrödinger operators on open sets	2018	Tsukasa Iwabuchi Tokio Matsuyama Koichi Taniguchi
+	Leibniz-Type Rules for Bilinear Fourier Multiplier Operators with Besov Regularity	2021	Zongguang Liu Xinfeng Wu Jiexing Yang

Works That Cite This (6)

Action	Title	Year	Authors
+ PDF Chat	Uniform Sobolev estimates for Schrödinger operators with scaling-critical potentials and applications	2020	Haruya Mizutani
+ PDF Chat	Spectral multipliers and wave propagation for Hamiltonians with a scalar potential	2023	Marius Beceanu Michael E. Goldberg
+	Endpoint uniform Sobolev inequalities for elliptic operators with applications	2019	Shanlin Huang Quan Zheng
+ PDF Chat	Decay estimates for fourth-order Schrödinger operators in dimension two	2022	Ping Li Avy Soffer Xiaohua Yao
+	L-boundedness of wave operators for bi-Schrödinger operators on the line	2024	Haruya Mizutani Zijun Wan Xiaohua Yao
+ PDF Chat	Kato Smoothing, Strichartz and Uniform Sobolev Estimates for Fractional Operators With Sharp Hardy Potentials	2021	Haruya Mizutani Xiaohua Yao

Works Cited by This (27)

Action	Title	Year	Authors
+	The analysis of linear partial differential operators	1990	Lars Hörmander
+	On the boundedness of functions of (pseudo-) differential operators on compact manifolds	1989	Andreas Seeger Christopher D. Sogge
+ PDF Chat	Weighted norm estimates and maximal regularity	2002	Sönke Blunck Peer Christian Kunstmann
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy
+	Fourier Integrals in Classical Analysis	2017	Christopher D. Sogge
+	The bilinear Bochner-Riesz problem	2015	Frédéric Bernicot Loukas Grafakos Liang Song Lixin Yan
+ PDF Chat	Restriction estimates, sharp spectral multipliers and endpoint estimates for Bochner-Riesz means	2016	Peng Chen El Maati Ouhabaz Adam Sikora Lixin Yan
+	Limits onLpRegularity of Self-Adjoint Elliptic Operators	1997	E. B. Davies
+ PDF Chat	$L\sp p$ bounds for spectral multipliers on nilpotent groups	1991	Michael Christ