Results 61 to 70 of about 470 (149)
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
Improved Sobolev inequalities and Muckenhoupt weights on stratified Lie groups [PDF]
, 2010 We study in this article the improved Sobolev inequalities with Muckenhoupt weights within the framework of stratified Lie groups. This family of inequalities estimate the Lq norm of a function by the geometric mean of two norms corresponding to Sobolev ...
Diego Chamorro, Chamorro, Diego
core +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
Weighted Sobolev estimates of the truncated Beurling operator
Bulletin of the London Mathematical Society, Volume 56, Issue 1, Page 232-239, January 2024.Abstract Given a bounded planar domain D$D$ with Wk+1,∞$W^{k+1, \infty }$ boundary, k∈Z+∪{0}$ k\in \mathbb {Z}^+\cup \lbrace 0\rbrace$, and a weight μ∈Ap,1
Yifei Pan, Yuan Zhang
wiley +1 more source
Musielak-Orlicz-Hardy Spaces Associated with Operators Satisfying Reinforced Off-Diagonal Estimates
Analysis and Geometry in Metric Spaces, 2013 Let X be a metric space with doubling measure and L a one-to-one operator of type ω having a bounded H∞ -functional calculus in L2(X) satisfying the reinforced (pL; qL) off-diagonal estimates on balls, where pL ∊ [1; 2) and qL ∊ (2;∞]. Let φ : X × [0;∞) →
Bui The Anh +4 more
doaj +1 more source
Muckenhoupt Class Weight Decomposition and BMO Distance to Bounded Functions [PDF]
, 2019 We study the connection between the Muckenhoupt Ap weights and bounded mean oscillation (BMO) for general bases for ℝ^d. New classes of bases are introduced that allow for several deep results on the Muckenhoupt weights–BMO connection to hold in a very ...
Sikic, Hrvoje, Nielsen, M; id_orcid
core +1 more source
EXPONENTIAL APPROXIMATION OF FUNCTIONS IN LEBESGUE SPACES WITH MUCKENHOUPT WEIGHT
Issues of Analysis, 2023 18 pages, Submitted.
openaire +5 more sources
Asymptotically sharp reverse Hölder inequalities for flat Muckenhoupt weights [PDF]
, 2016 We present reverse Hölder inequalities for Muckenhoupt weights in $\mathbb{R}^n$ with an asymptotically sharp behavior for flat weights, namely $A_\infty$ weights with Fujii-Wilson constant $(w)_{A_\infty}\to 1^+$.
Parissis, Ioannis, Rela, Ezequiel
core +1 more source
Muckenhoupt weights and Lindelöf theorem for harmonic mappings
Advances in Mathematics, 2015 We extend the result of Lavrentiev which asserts that the harmonic measure and the arc-length measure are $A_\infty$ equivalent in a chord-arc Jordan domain. By using this result we extend the classical result of Lindelöf to the class of quasiconformal (q.c.) harmonic mappings by proving the following assertion.
openaire +3 more sources
Sharp inequalities for one-sided Muckenhoupt weights [PDF]
Collectanea Mathematica, 2017 Let $A_\infty ^+$ denote the class of one-sided Muckenhoupt weights, namely all the weights $w$ for which $\mathsf M^+:L^p(w)\to L^{p,\infty}(w)$ for some $p>1$, where $\mathsf M^+$ is the forward Hardy-Littlewood maximal operator. We show that $w\in A_\infty ^+$ if and only if there exist numerical constants $γ\in(0,1)$ and $c>0$ such that $$ w(\
Hagelstein, Paul +2 more
openaire +3 more sources