Compactness of the Solution Operator to ∂ in Weighted L 2 - Spaces

Institute for Mathematical Physics Compactness of the Solution Operator to ∂ in Weighted L 2 -spaces

In this paper we discuss compactness of the canonical solution operator to ∂ on weigthed L spaces on C. For this purpose we apply ideas which were used for the Witten Laplacian in the real case and various methods of spectral theory of these operators. We also point out connections to the theory of Dirac and Pauli operators.

Institute for Mathematical Physics Compactness of the ∂–neumann Operator on Weighted (0,q)–forms

As an application of a characterization of compactness of the ∂-Neumann operator we derive a sufficient condition for compactness of the ∂-Neumann operator on (0, q)-forms in weighted L 2-spaces on C n .

A Note on Weighted Composition Operators on L^p-Spaces

Degree of F-irresolute function in (L, M)-fuzzy topological spaces

In this paper, we present a new vision for studying ${F}$-open, ${F}$-continuous, and ${F}$-irresolute function in $(L,M)$-fuzzy topological spaces based on the implication operation and $(L,M)$-fuzzy ${F}$-open operator cite{2}. These kinds of functions are generalized with their elementary properties to $(L,M)$-fuzzy topological spaces setting based on graded concepts. Moreover, a systematic ...

Weighted composition operators between growth spaces on circular and strictly convex domain

Let $Omega_X$ be a bounded, circular and strictly convex domain of a Banach space $X$ and $mathcal{H}(Omega_X)$ denote the space of all holomorphic functions defined on $Omega_X$. The growth space $mathcal{A}^omega(Omega_X)$ is the space of all $finmathcal{H}(Omega_X)$ for which $$|f(x)|leqslant C omega(r_{Omega_X}(x)),quad xin Omega_X,$$ for some constant $C>0$, whenever $r_{Omega_X}$ is the M...