Poincaré Inequalities for Composition Operators with L φ - Norm

Ru Fang

doi:10.1155/2014/818201

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Home > Journals > Abstr. Appl. Anal. > Volume 2014 > Issue SI33 > Article

2014 Poincaré Inequalities for Composition Operators with

{L}^{\phi }\text{-}

Norm

Ru Fang

Abstr. Appl. Anal. 2014(SI33): 1-6 (2014). DOI: 10.1155/2014/818201

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Abstract

We establish the Poincaré-type inequalities for the composition of the homotopy operator, exterior derivative operator, and the projection operator with ${L}^{\phi }\text{-}$ norm applied to the nonhomogeneous $A$ -harmonic equation in ${L}^{\phi }(\mathrm{\Omega })$ -averaging domains.

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Ru Fang. "Poincaré Inequalities for Composition Operators with ${L}^{\phi }\text{-}$ Norm." Abstr. Appl. Anal. 2014 (SI33) 1 - 6, 2014. https://doi.org/10.1155/2014/818201