BOCHNER–RIESZ MEANS ON BLOCK-SOBOLEV SPACES IN COMPACT LIE GROUP
DOI10.1017/S1446788719000430zbMath1441.43007OpenAlexW2999002471WikidataQ115335485 ScholiaQ115335485MaRDI QIDQ5118915
Jiecheng Chen, Fan, Dashan, Fa You Zhao
Publication date: 27 August 2020
Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s1446788719000430
maximal operatorFourier seriesBochner-Riesz meansalmost everywhere convergenceblock spacecompact Lie groupsblock-Sobolev space
Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Other transforms and operators of Fourier type (43A32)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A theory of entropy in Fourier analysis
- Spaces generated by smooth blocks
- Approximation of \(H^ p\)-functions by Bochner-Riesz means on compact Lie groups
- On almost everywhere divergence of Bochner-Riesz means on compact Lie groups
- Sommes de Riesz et multiplicateurs sur un groupe de Lie compact
- Block-Sobolev spaces and the rate of almost everywhere convergence of Bochner-Riesz means
- Approximation properties of combination of multivariate averages on Hardy spaces
- Conjectures and problems on Bochner-Riesz means
- Classical Fourier Analysis
- Function Spaces Generated by Blocks Associated With Spheres, Lie Groups and Spaces of Homogeneous Type
- Nontangential Maximal Functions Over Compact Riemannian Manifolds
- Extensions of Hardy spaces and their use in analysis
- $H^p$ Sobolev spaces
- On the Convergence of Poisson Integrals
- Summation of Multiple Fourier Series by Spherical Means
This page was built for publication: BOCHNER–RIESZ MEANS ON BLOCK-SOBOLEV SPACES IN COMPACT LIE GROUP