\(L^{s}(\mu)\)-averaging domains

DOI10.1016/S0022-247X(03)00216-6zbMath1027.30053OpenAlexW1514746766MaRDI QIDQ1404895

Craig A. Nolder, Shusen Ding

Publication date: 25 August 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00216-6

zbMATH Keywords

Poincaré inequality\(A\)-harmonic tensorquasiregular function\(L^p\)-averaging domains

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Nonlinear elliptic equations (35J60) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Other analytical inequalities (26D20)

Related Items (19)

Integral estimates for the potential operator on differential forms ⋮ Orlicz norm inequalities for the composite operator and applications ⋮ Advances in differential forms and the \(A\)-harmonic equation ⋮ A new weight class and Poincaré inequalities with the Radon measure ⋮ Further study on domains and quasihyperbolic distances ⋮ Poincaré-type inequalities for the composite operator in \(L^{\mathcal{A}}\)-averaging domains ⋮ Two-weight Poincaré-type inequalities for differential forms in \(L^s(\mu )\)-averaging domains ⋮ Advances in study of Poincaré inequalities and related operators ⋮ Poincaré inequalities with Luxemburg norms in \(L^{\varphi}(m)\)-averaging domains ⋮ \(L^{\varphi}(\mu)\)-averaging domains and the quasi-hyperbolic metric ⋮ \(L(\varphi ,\mu )\)-averaging domains and Poincaré inequalities with Orlicz norms ⋮ Some estimates of integrals with a composition operator ⋮ Invariance properties of \(L^\varphi (\mu)\)-averaging domains under some mappings ⋮ Integral inequality for conjugate A -harmonic tensors in John domains ⋮ Weighted Poincaré-type inequalities for differential forms in \(L^s(\mu)\)-averaging domains ⋮ A singular integral of the composite operator ⋮ Thresholds of survival for an \(n\)-dimensional Volterra mutualistic system in a polluted environment ⋮ Generalized Poincaré inequalities for solutions to the \(A\)-harmonic equation in certain domains ⋮ The monotonic property of \(L^s(\mu)\)-averaging domains and weighted weak reverse Hölder inequality

Cites Work

• \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
• Uniform domains and the quasi-hyperbolic metric
• Convexity conditions and existence theorems in nonlinear elasticity
• Hardy-Littlewood theorems for \(A\)-harmonic tensors
• Integral estimates for null Lagrangians
• Quasiregular mappings in even dimensions
• \(p\)-harmonic tensors and quasiregular mappings
• Fractional Integrals on Weighted H p and L p Spaces
• L^p-averaging domains and the Poincaré inequality
• Hardy-Littlewood inequality for quasiregular mappings in certain domains in R^n
• Pointwise multipliers for reverse Holder spaces
• Weighted Hardy-Littlewood inequality for 𝐴-harmonic tensors
• Exponential integrability of the quasi-hyperbolic metric on Hölder domains
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: \(L^{s}(\mu)\)-averaging domains