We provide a path-space integral representation of the semigroup associated with the quadratic form obtained by lower order perturbation of a symmetric local Dirichlet form. The representation is a combination of Feynman-Kac and Girsanov formulas, and extends previously known results in the framework of symmetric diffusion processes through the use of the Hardy class of smooth measures, which c...

Abstract In this article, we aimed to study a class of nonhomogeneous fractional ( p , q )-Laplacian systems with critical nonlinearities as well Hardy in RN {{\mathbb{R}}}^{N} . By appealing fixed point result and Hardy-Sobolev i...

In this paper, we develop the Littman–Stampacchia–Weinberger duality approach to obtain global $$W^{1,p}$$ estimates for a class of elliptic problems involving Leray–Hardy operators and measure sources in distributional framework associated dual formulation with specific weight function.

The multilinear pseudo-differential operators with symbols in the Hörmander class S0,0 are considered. A complete identification of cases where those define bounded between local Hardy spaces is given. Some results for boundedness Wiener amalgam also These extensions and improvements known bilinear case.