BMO Classification for Two-Dimensional Dunkl Newton and Green Kernels
Ji Li, Lixin Yan, Huohao Zhang
Abstract
Using Gaussian heat-kernel estimates, we classify planar Dunkl Newton kernels in weighted Euclidean BMO and obtain the corresponding local classification for unit-ball Green kernels. For atomic Newton potentials supported on a regular reflection orbit, orbit BMO detects exactly whether the coefficients are constant along the orbit. We also prove an intrinsic Dunkl--CLMS theorem in the heat-semigroup Hardy space and derive intrinsic and Euclidean-source Newton--Wente estimates, extending the BMO--Hardy-space method of Chanillo and Li to the Dunkl setting. Further consequences include sharp local atomic estimates, same-domain criteria, a localized L1-to-BMO bound, and a Brezis--Merle-type estimate.
Create a lesson
Related papers
Learning Lyapunov Operators for Nonlinear Systems
Amartya Mukherjee, Maxwell Fitzsimmons, David C. Del Rey Fernández et al.
Existence of Admissible Subsolutions to the Dirichlet Problem for Symmetric Augmented k-Hessian Type Equations in Bounded Domains
Quang Hong Dinh, Bang Van Tran, Ngoan Tien Ha et al.
The Regularity datum on time-varying graph domains and Dirichlet--Regularity duality
Martin Dindoš
Existence of flat blowups at boundary points of anisotropic minimizing hypercurrents
Michael Novack, Reinaldo Resende
Isolated singularities of the capillary equation with negative gravity
Bin Deng, Jiahuan Li, Yilu Liu et al.
Local behavior for solutions to inhomogeneous singular parabolic p-Laplace equations
Xia Hao, Yan Li, Zhiwen Zhao