Imbedding inequalities with \(L{\varphi}\)-norms for composite operators
DOI10.1186/1029-242X-2013-544zbMath1293.35118OpenAlexW2129051075WikidataQ59302152 ScholiaQ59302152MaRDI QIDQ2250323
Publication date: 7 July 2014
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1029-242x-2013-544
Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Equations involving nonlinear operators (general) (47J05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45)
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Cites Work
- Singular integrals of the compositions of Laplace-Beltrami and Green's operators
- Fractional integrals, potential operators and two-weight, weak type norm inequalities on spaces of homogeneous type
- Global weighted inequalities for operators and harmonic forms on manifolds
- Integral estimates for null Lagrangians
- \(A_r (\lambda)\)-weighted integral inequalities for \(A\)-harmonic tensors
- Global Poincaré inequalities for Green's operator applied to the solutions of the nonhomogeneous \(A\)-harmonic equation
- \(L^{\varphi}(\mu)\)-averaging domains and the quasi-hyperbolic metric
- \(A_{r}^{\lambda}(\Omega)\)-weighted imbedding inequalities for \(A\)-harmonic tensors.
- Weighted integral inequalities for solutions of the \(A\)-harmonic equation
- Two-weight Poincaré-type inequalities for differential forms in \(L^s(\mu )\)-averaging domains
- Two-weight Caccioppoli inequalities for solutions of nonhomogeneous 𝐴-harmonic equations on Riemannian manifolds
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