\(L^{\varphi}(\mu)\)-averaging domains and the quasi-hyperbolic metric
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Publication:1767873
DOI10.1016/j.camwa.2004.06.016zbMath1063.30022OpenAlexW2084745343MaRDI QIDQ1767873
Publication date: 8 March 2005
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2004.06.016
Related Items (31)
Lipschitz and BMO norm inequalities for the composition operator on differential forms ⋮ Embedding theorems for composition of homotopy and projection operators ⋮ Higher integrability of Green's operator and homotopy operator ⋮ Higher integrability of iterated operators on differential forms ⋮ Integral estimates for the potential operator on differential forms ⋮ Singular integrals of the compositions of Laplace-Beltrami and Green's operators ⋮ Orlicz norm inequalities for the composite operator and applications ⋮ Inequalities for Green's operator applied to the minimizers ⋮ The integral estimate with Orlicz norm in \(L^{\phi(x)}\)-averaging domain ⋮ Some Orlicz norms inequalities for the composite operator \(T \circ d \circ H\) ⋮ Full invariants on certain class of abstract dual systems ⋮ Global estimates for singular integrals of the composite operator ⋮ Inequalities for the composition of Green's operator and the potential operator ⋮ Further study on domains and quasihyperbolic distances ⋮ Some local Poincaré inequalities for the composition of the sharp maximal operator and the Green's operator ⋮ Poincaré-type inequalities with \(L^p(\log L)^\alpha\)-norms for Green's operator ⋮ \(L^{\varphi}\)-embedding inequalities for some operators on differential forms ⋮ Imbedding theorems in Orlicz-Sobolev space of differential forms ⋮ Recent advances in \(L^p\)-theory of homotopy operator on differential forms ⋮ Poincaré-type inequalities for the composite operator in \(L^{\mathcal{A}}\)-averaging domains ⋮ Poincaré inequalities for composition operators with \(L^\varphi -\)norm ⋮ Advances in study of Poincaré inequalities and related operators ⋮ Imbedding inequalities with \(L{\varphi}\)-norms for composite operators ⋮ The higher integrability of commutators of Calderón-Zygmund singular integral operators on differential forms ⋮ Poincaré inequalities with Luxemburg norms in \(L^{\varphi}(m)\)-averaging domains ⋮ Poincaré-type inequalities for the homotopy operator with \(L^{\varphi }(\varOmega )\)-norms ⋮ Global estimates for singular integrals of the composition of the maximal operator and the Green's operator ⋮ Estimates for \(L^\varphi \)-Lipschitz and \(L^\varphi \)-BMO norms of differential forms ⋮ Some higher norm inequalities for composition of power operators ⋮ Boundedness characterization of composite operator with Orlicz-Lipschitz norm and Orlicz-BMO norm ⋮ BMO and Lipschitz norm estimates for composite operators
Cites Work
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- Uniform domains and the quasi-hyperbolic metric
- Weighted Poincaré-type inequalities for differential forms in \(L^s(\mu)\)-averaging domains
- \(L^{s}(\mu)\)-averaging domains
- L^p-averaging domains and the Poincaré inequality
- Hardy-Littlewood inequality for quasiregular mappings in certain domains in R^n
- Harmonic morphisms in nonlinear potential theory
- Weighted Hardy-Littlewood inequality for 𝐴-harmonic tensors
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