Matrix \(\mathcal A_p\) weights, degenerate Sobolev spaces, and mappings of finite distortion

DOI10.1007/s12220-015-9649-8zbMath1357.30015arXiv1505.00699OpenAlexW2204220408MaRDI QIDQ345291

Scott Rodney, Kabe Moen, David V. Cruz-Uribe

Publication date: 1 December 2016

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.00699

zbMATH Keywords

mappings of finite distortion\(p\)-Laplace equationsdegenerate Sobolev spaces

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (16)

Two matrix weighted inequalities for commutators with fractional integral operators ⋮ Elliptic Equations with Degenerate Weights ⋮ Poincaré inequalities and Neumann problems for the variable exponent setting ⋮ Real-variable characterizations and their applications of matrix-weighted Triebel-Lizorkin spaces ⋮ Real-variable characterizations and their applications of matrix-weighted Besov spaces on spaces of homogeneous type ⋮ Matrix weighted Kolmogorov-Riesz's compactness theorem ⋮ Commutators in the two scalar and matrix weighted setting ⋮ Variation of Calderón–Zygmund operators with matrix weight ⋮ Two weight bump conditions for matrix weights ⋮ Weak endpoint bounds for matrix weights ⋮ Matrix weighted Poincare inequalities and applications to degenerate elliptic systems ⋮ On the extension of Muckenhoupt weights in metric spaces ⋮ Poincare Inequalities and Neumann Problems for the p-Laplacian ⋮ Local Muckenhoupt class for variable exponents ⋮ Bourgain-Morrey spaces and their applications to boundedness of operators ⋮ Matrix weighted Triebel-Lizorkin bounds: A simple stopping time proof

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sharp weighted bounds involving \(A_\infty\)
• A compact embedding theorem for generalized Sobolev spaces
• Boundedness of weak solutions of degenerate quasilinear equations with rough coefficients.
• Bounds for the Hilbert transform with matrix \(A_{2}\) weights
• Trigonometric bases for matrix weighted \(L_p\)-spaces
• Maximum principles for weak solutions of degenerate elliptic equations with a uniformly elliptic direction
• Convexity conditions and existence theorems in nonlinear elasticity
• Sobolev mappings with integrable dilatations
• Weakly monotone functions
• Nonlinear potential theory and weighted Sobolev spaces
• Elliptic partial differential equations of second order
• Calderon-Zygmund operators, pseudo-differential operators and the Cauchy integral of Calderon
• Matrix \(A_p\) weights via maximal functions.
• Mappings of finite distortion: sharp Orlicz-conditions
• Regularity of solutions to degenerate \(p\)-Laplacian equations
• Properties of BMO functions whose reciprocals are also BMO
• Vector $A_2$ weights and a Hardy-Littlewood maximal function
• Inverse volume inequalities for matrix weights
• Matrix-weighted Besov spaces
• Modern Fourier Analysis
• Degenerate Sobolev spaces and regularity of subelliptic equations
• Weighted Poincare and Sobolev Inequalities and Estimates for Weighted Peano Maximal Functions
• Matrix $A_p$ weights via $S$-functions
• Frames and Stable Bases for Shift-Invariant Subspaces of L₂(ℝ^d)
• The Structure of the Reverse Holder Classes
• Scalar and vector Muckenhoupt weights
• Matrix-weighted Besov spaces and conditions of A_p type for 0 less than p \leq 1
• H = W
• Mappings of finite distortion: Monotonicity and continuity
• Wavelets and the angle between past and future

This page was built for publication: Matrix \(\mathcal A_p\) weights, degenerate Sobolev spaces, and mappings of finite distortion