Results 81 to 90 of about 105,003 (261)

Hyponormal Toeplitz Operators on the Dirichlet Spaces

Abstract and Applied Analysis, 2013
We completely characterize the hyponormality of bounded Toeplitz operators with Sobolev symbols on the Dirichlet space and the harmonic Dirichlet space.
Puyu Cui, Yufeng Lu
doaj   +1 more source

Embedding theorems for variable exponent fractional Sobolev spaces and an application

, 2021
Haikun Liu, Yongqiang Fu
openalex   +1 more source

Anisotropic logarithmic Sobolev inequality with a Gaussian weight and its applications

Electronic Journal of Differential Equations, 2019
In this article we prove a Logarithmic Sobolev type inequality and a Poincare type inequality for functions in the anisotropic Gaussian Sobolev space.
Filomena Feo, Gabriella Paderni
doaj  

Sharp affine weighted L 2 Sobolev inequalities on the upper half space

Advanced Nonlinear Studies
We establish some sharp affine weighted L 2 Sobolev inequalities on the upper half space, which involves a divergent operator with degeneracy on the boundary.
Dou Jingbo, Hu Yunyun, Yue Caihui
doaj   +1 more source

Diffeomorphic approximation of Planar Sobolev Homeomorphisms in\n rearrangement invariant spaces [PDF]

, 2020
Daniel Campbell, Luigi Greco, Roberta Schiattarella, Filip Soudský   +3 more
openalex   +1 more source

Maximizers for the Strichartz inequalities and the Sobolev-Strichartz inequalities for the Schr\"odinger equation

, 2008
In this paper, we first show that there exists a maximizer for the non-endpoint Strichartz inequalities for the Schr\"odinger equation in all dimensions based on the recent linear profile decomposition results.
Shao, Shuanglin
core   +1 more source

Trudinger–Moser Inequalities in Fractional Sobolev–Slobodeckij Spaces and Multiplicity of Weak Solutions to the Fractional-Laplacian Equation

Advanced Nonlinear Studies, 2019
In line with the Trudinger–Moser inequality in the fractional Sobolev–Slobodeckij space due to [S. Iula, A note on the Moser–Trudinger inequality in Sobolev–Slobodeckij spaces in dimension one, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.
Zhang Caifeng
doaj   +1 more source

IDENTIFYING THE INITIAL CONDITION FOR SPACE-FRACTIONAL SOBOLEV EQUATION

, 2021
Nguyen Hoang Luc, Le Dinh Long, Hang Le Thi Diem, Dumitru Băleanu, Nguyen Huu Can   +4 more
openalex   +1 more source

Approximation and Generalization Capacities of Parametrized Quantum Circuits for Functions in Sobolev Spaces [PDF]

, 2023
Alberto Blázquez Manzano, David Dechant, Jordi Tura, Vedran Dunjko   +3 more
openalex   +1 more source

Sharp commutator estimates of all order for Coulomb and Riesz modulated energies

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 207-292, February 2026.
Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley   +1 more source