Weighted Poincaré-type estimates for conjugate -harmonic tensors

Weighted Poincaré-type Estimates for Conjugate A-harmonic Tensors

In a survey paper [1], Agarwal and Ding summarized the advances achieved in the study of A-harmonic equations. Some recent results about A-harmonic equations can also be found in [2, 3, 5, 6]. The purpose of this note is to establish some estimates about Green’s operator and the Hodge codifferential operator d∗, which will enrich the existing literature in the field of A-harmonic equations. Let...

Weighted Caccioppoli-type Estimates and Weak Reverse Hölder Inequalities for A-harmonic Tensors

We obtain a local weighted Caccioppoli-type estimate and prove the weighted version of the weak reverse Hölder inequality for A-harmonic tensors.

Ar(λ)-WEIGHTED CACCIOPPOLI-TYPE AND POINCARÉ-TYPE INEQUALITIES FOR A-HARMONIC TENSORS

Essential norm estimates of generalized weighted composition operators into weighted type spaces

Weighted composition operators appear in the study of dynamical systems and also in characterizing isometries of some classes of Banach spaces. One of the most important generalizations of weighted composition operators, are generalized weighted composition operators which in special cases of their inducing functions give different types of well-known operators like: weighted composition operat...

Hardy-Littlewood and Caccioppoli-Type Inequalities for A-Harmonic Tensors