Global minimizers of a large class of anisotropic attractive‐repulsive interaction energies in 2D
Communications on Pure and Applied Mathematics, Volume 77, Issue 2, Page 1353-1404, February 2024.Abstract We study a large family of Riesz‐type singular interaction potentials with anisotropy in two dimensions. Their associated global energy minimizers are given by explicit formulas whose supports are determined by ellipses under certain assumptions.
José A. Carrillo, Ruiwen Shu
wiley +1 more source
Quantitative weighted estimates for Rubio de Francia's Littlewood--Paley square function
, 2019 We consider the Rubio de Francia's Littlewood--Paley square function associated with an arbitrary family of intervals in $\mathbb{R}$ with finite overlapping. Quantitative weighted estimates are obtained for this operator.
Garg, R., Roncal, L., Shrivastava, S.
core
The Littlewood–Paley Theory: A Common Thread of Many Works in Nonlinear Analysis
EMS Newsletter, 2019 In this article we present the Littlewood-Paley theory and illustrate the effectiveness of this microlocal analysis tool in the study of partial differential equations, in a context which is the least technical possible.
H. Bahouri
semanticscholar +1 more source
Singular Radon transforms and maximal functions under convexity assumptions
, 2002 We prove variable coefficient versions of L^p boundedness results on Hilbert transforms and maximal functions along convex curves in the plane.Comment: 19 pages, to appear in Revista Matematica ...
Seeger, Andreas, Wainger, Stephen
core +1 more source
Square functions in the Hermite setting for functions with values in UMD spaces
, 2012 In this paper we characterize the Lebesgue Bochner spaces $L^p(\mathbb{R}^n,B ...
Betancor, Jorge J. +4 more
core
Discrete harmonic analysis associated with ultraspherical expansions
, 2015 We study discrete harmonic analysis associated with ultraspherical orthogonal functions. We establish weighted l^p-boundedness properties of maximal operators and Littlewood-Paley g-functions defined by Poisson and heat semigroups generated by certain ...
Betancor, Jorge J. +3 more
core
The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion. [PDF]
Arch Ration Mech Anal, 2022 Disconzi MM, Ifrim M, Tataru D.
europepmc +1 more source
Maximal inequalities for stochastic convolutions in 2-smooth Banach spaces and applications to stochastic evolution equations. [PDF]
Philos Trans A Math Phys Eng Sci, 2020 van Neerven J, Veraar M.
europepmc +1 more source
Imbedding and multiplier theorems for discrete Littlewood-Paley spaces
, 1996 I. Verbitsky
semanticscholar +1 more source
Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel-Lizorkin spaces with variable exponents. [PDF]
J Inequal Appl, 2018 Xu J, Zhu J.
europepmc +1 more source