Results 11 to 20 of about 2,907 (125)

Almost everywhere convergence of Bochner–Riesz means on Heisenberg‐type groups [PDF]

Journal of the London Mathematical Society, Volume 103, Issue 3, Page 1066-1119, April 2021., 2021
Abstract We prove an almost everywhere convergence result for Bochner–Riesz means of Lp functions on Heisenberg‐type groups, yielding the existence of a p>2 for which convergence holds for means of arbitrarily small order. The proof hinges on a reduction of weighted L2 estimates for the maximal Bochner–Riesz operator to corresponding estimates for the ...
Adam D. Horwich, Alessio Martini
wiley   +4 more sources

Maximal estimates for bilinear Bochner-Riesz means [PDF]

Advances in Mathematics, 2022
Reference and figures ...
Jotsaroop, K., Shrivastava, Saurabh
openaire   +5 more sources

Weighted norm inequalities of Bochner–Riesz means

Journal of Mathematical Analysis and Applications, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

Weighted decoupling estimates and the Bochner-Riesz means

Forum of Mathematics, Sigma
We prove new weighted decoupling estimates. As an application, we give an improved sufficient condition for almost everywhere convergence of the Bochner-Riesz means of arbitrary $L^p$ functions for ...
Jongchon Kim
doaj   +3 more sources

Weighted Estimates for Bilinear Bochner-Riesz Means at the Critical Index [PDF]

Potential Analysis, 2020
In this paper we establish weighted estimates for the bilinear Bochner-Riesz operator $\mathcal B^ $ at the critical index $ =n-\frac{1}{2}$ with respect to bilinear weights.
K. Jotsaroop, Saurabh Shrivastava, Kalachand Shuin   +2 more
openaire   +5 more sources

On fractional semidiscrete Dirac operators of Lévy–Leblond type

Mathematische Nachrichten, Volume 296, Issue 7, Page 2758-2779, July 2023., 2023
Abstract In this paper, we introduce a wide class of space‐fractional and time‐fractional semidiscrete Dirac operators of Lévy–Leblond type on the semidiscrete space‐time lattice hZn×[0,∞)$h{\mathbb {Z}}^n\times [0,\infty )$ (h>0$h>0$), resembling to fractional semidiscrete counterparts of the so‐called parabolic Dirac operators.
Nelson Faustino
wiley   +1 more source

Convergence of a discretization of the Maxwell–Klein–Gordon equation based on finite element methods and lattice gauge theory

Numerical Methods for Partial Differential Equations, Volume 39, Issue 4, Page 3271-3308, July 2023., 2023
Abstract The Maxwell–Klein–Gordon equations are a set of coupled nonlinear time‐dependent wave equations, used to model the interaction of an electromagnetic field with a particle. The solutions, expressed with a magnetic vector potential, are invariant under gauge transformations.
Snorre H. Christiansen, Tore G. Halvorsen, Claire Scheid   +2 more
wiley   +1 more source

Simultaneous approximation in Lebesgue and Sobolev norms via eigenspaces

Proceedings of the London Mathematical Society, Volume 125, Issue 4, Page 759-777, October 2022., 2022
Abstract We approximate functions defined on smooth bounded domains by elements of the eigenspaces of the Laplacian or the Stokes operator in such a way that the approximations are bounded and converge in both Sobolev and Lebesgue spaces. We prove an abstract result referred to fractional power spaces of positive, self‐adjoint, compact‐inverse ...
Charles L. Fefferman, Karol W. Hajduk, James C. Robinson   +2 more
wiley   +1 more source

On the existence of global‐in‐time weak solutions and scaling laws for Kolmogorov's two‐equation model for turbulence

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 102, Issue 9, September 2022., 2022
Abstract This paper is concerned with Kolmogorov's two‐equation model for turbulence in R3$\mathbb {R}^3$ involving the mean velocity u, the pressure p, an average frequency ω>0$\omega >0$, and a mean turbulent kinetic energy k. We consider the system with space‐periodic boundary conditions in a cube Ω=(]0,a[)3$\Omega =({]0,a[}){}^3$, which is a good ...
Alexander Mielke, Joachim Naumann
wiley   +1 more source

Maximal regularity for the Cauchy problem of the heat equation in BMO

Mathematische Nachrichten, Volume 295, Issue 7, Page 1406-1442, July 2022., 2022
Abstract We consider maximal regularity for the Cauchy problem of the heat equation in a class of bounded mean oscillations (BMO$BMO$). Maximal regularity for non‐reflexive Banach spaces is not obtained by the established abstract theory. Based on the symmetric characterization of BMO$BMO$‐expression, we obtain maximal regularity for the heat equation ...
Takayoshi Ogawa, Senjo Shimizu
wiley   +1 more source