Essential norms of weighted composition operators from the -Bloch space to a weighted-type space on the unit ball.
Essential norms of weighted composition operators on the space of Dirichlet series
We estimate the essential norm of a weighted composition operator relative to the class of Dunford-Pettis operators or the class of weakly compact operators, on the space of Dirichlet series. As particular cases, we obtain the precise value of the generalized essential norm of a composition operator and of a multiplication operator.
Essential self-adjointness for combinatorial Schrödinger operators III- Magnetic fields
We define the magnetic Schrödinger operator on an infinite graph by the data of a magnetic field, some weights on vertices and some weights on edges. We discuss essential self-adjointness of this operator for graphs of bounded degree. The main result is a discrete version of a result of two authors of the present paper.
Essential self-adjointness for magnetic Schrödinger operators on non-compact manifolds
We give a condition of essential self-adjointness for magnetic Schrödinger operators on non-compact Riemannian manifolds with a given positive smooth measure which is fixed independently of the metric. This condition is related to the classical completeness of a related classical hamiltonian without magnetic field. The main result generalizes the result by I. Oleinik [29,30,31], a shorter and more transparent proof of which was provided by the author in [41]. The main idea, as in [41], consists...
Essential Selfadjointness of Dirac Operators with a Strongly Singular Potential.
Essential self-adjointness of many particle Schrödinger hamiltonians with singular two-body potentials
Essential Self-Adjointness of Schrödinger Operators Bounded from Below.
Essential Self-Adjointness of Schrödinger Operators with Positive Potentials.
Essential Self-Adjointness of Semibounded Operators.
Essential self-adjointness of symmetric linear relations associated to first order systems
The purpose of this note is to present several criteria for essential self-adjointness. The method is based on ideas due to Shubin. This note is divided into two parts. The first part deals with symmetric first order systems on the line in the most general setting. Such a symmetric first order system of differential equations gives rise naturally to a symmetric linear relation in a Hilbert space. In this case even regularity is nontrivial. We will announce a regularity result and discuss criteria...
Essential spectra of quasisimilar -quasihyponormal operators.
Essential spectra of weighted composition operators with hyperbolic symbols
In this paperwe study both the spectra and the essential spectra ofweighted composition operators on Hardy spaces Hp(ⅅ), standard weighted Bergman spaces Apα(ⅅ) and weighted H∞1-type spaces when the symbols are of hyperbolic type
Essential supremum norm differentiability.
Essentially slant Hankel operators.
Essentially slant Toeplitz operators.
Estimate of the Hausdorff measure of the singular set of a solution for a semi-linear elliptic equation associated with superconductivity
We study the boundedness of the Hausdorff measure of the singular set of any solution for a semi-linear elliptic equation in general dimensional Euclidean space . In our previous paper, we have clarified the structures of the nodal set and singular set of a solution for the semi-linear elliptic equation. In particular, we showed that the singular set is -rectifiable. In this paper, we shall show that under some additive smoothness assumptions, the -dimensional Hausdorff measure of singular set...
Estimates for a class of integral operators and appli-cations to the ?-Neumann problem.
Estimates for a number of negative eigenvalues of the Schrödinger operator with intensive magnetic field
Estimates for absolute values of matrix functions.
Estimates for Derivatives and Integrals of Eigenfunctions and Associated Functions of Nonselfadjoint Sturm-Liouville Operator With Discontinuous Coefficients (II)