Results 51 to 60 of about 2,771 (142)
Weighted estimates for the multilinear maximal function
, 2013 A formulation of the Carleson embedding theorem in the multilinear setting is proved which allows to obtain a multilinear analogue of Sawyer's two weight theorem for the multisublinear maximal function \mathcal{M} introduced in Lerner et al.
Chen, Wei, Damián, Wendolín
core +1 more source
Superlinear perturbations of a double‐phase eigenvalue problem
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We consider a perturbed version of an eigenvalue problem for the double‐phase operator. The perturbation is superlinear, but need not satisfy the Ambrosetti–Robinowitz condition. Working on the Sobolev–Orlicz space W01,η(Ω)$ W^{1,\eta }_{0}(\Omega)$ with η(z,t)=α(z)tp+tq$ \eta (z,t)=\alpha (z)t^{p}+t^{q}$ for 1
Yunru Bai +2 more
wiley +1 more source
Two-weight norm inequalities on Morrey spaces
, 2014 A description of all the admissible weights similar to the Muckenhoupt class $A_p$ is an open problem for the weighted Morrey spaces. In this paper necessary condition and sufficient condition for two-weight norm inequalities on Morrey spaces to hold are
Tanaka, Hitoshi
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A stability result on Muckenhoupt’s weights
Publicacions Matemàtiques, 1998 We prove that Muckenhoupt's A1-weights satisfy a reverse HÄolder inequality with an explicit and asymptotically sharp estimate for the exponent. As a by-product we get a new characterization of A1-weights.
openaire +7 more sources
Second‐order regularity for degenerate p$p$‐Laplace type equations with log‐concave weights
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract We consider weighted p$p$‐Laplace type equations with homogeneous Neumann boundary conditions in convex domains, where the weight is a log‐concave function which may degenerate at the boundary. In the case of bounded domains, we provide sharp global second‐order estimates. For unbounded domains, we prove local estimates at the boundary.
Carlo Alberto Antonini +2 more
wiley +1 more source
Partial Differential Equations in Applied MathematicsWe consider local generalized weighted Morrey spaces M{x0}p(⋅),ω,φ(Rn) with variable exponent p(x), φ is a weight and a general function ω(r) defining the Morrey-type norm.
C. Aykol +3 more
doaj +1 more source
Regularity and separation for Grušin‐type p‐Laplace operators
Mathematische Nachrichten, Volume 298, Issue 5, Page 1727-1757, May 2025.Abstract We analyze p‐Laplace type operators with degenerate elliptic coefficients. This investigation includes Grušin‐type p‐Laplace operators. We describe a separation phenomenon in elliptic and parabolic p‐Laplace type equations, which provide an illuminating illustration of simple jump discontinuities of the corresponding weak solutions ...
Daniel Hauer, Adam Sikora
wiley +1 more source
Mixed weak‐type inequalities in Euclidean spaces and in spaces of the homogeneous type
Mathematische Nachrichten, Volume 297, Issue 4, Page 1370-1406, April 2024.Abstract In this paper, we provide mixed weak‐type inequalities generalizing previous results in an earlier work by Caldarelli and the second author and also in the spirit of earlier results by Lorente et al. One of the main novelties is that, besides obtaining estimates in the Euclidean setting, results are provided as well in spaces of the ...
Gonzalo Ibañez‐Firnkorn +1 more
wiley +1 more source
Современная наука и инновации, 2022 For the Riesz potential operator there are proved weighted estimates within the framework of weighted Lebesgue spaces with variable exponent. In case is a bounded do-main, the order potential is allowed to be variable as well.
Boris G. Vaculov +2 more
doaj
Anisotropic interpolation theorems of Musielak-Orlicz type
Journal of Inequalities and Applications, 2016 Anisotropy is a common attribute of Nature, which shows different characterizations in different directions of all or part of the physical or chemical properties of an object. The anisotropic property, in mathematics, can be expressed by a fairly general
Jinxia Li, Ruirui Sun, Baode Li
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