Schatten class Toeplitz operators on weighted Bergman spaces of the unit ball.
Schatten class weighted composition operators on Bergman spaces of bounded strongly pseudoconvex domains
We characterize the Schatten class weighted composition operators on Bergman spaces of bounded strongly pseudoconvex domains in terms of the Berezin transform.
Schatten classes and commutators on simple martingales
Schatten norms of Toeplitz matrices with Fisher--Hartwig singularities.
Schauder Type Theorems for Differentiable and Holomorphic Mappings.
Schauder's Theorem and Riesz Theory for Compact-like Operators.
Schrödinger Operator on the Zigzag Half-Nanotube in Magnetic Field
We consider the zigzag half-nanotubes (tight-binding approximation) in a uniform magnetic field which is described by the magnetic Schrödinger operator with a periodic potential plus a finitely supported perturbation. We describe all eigenvalues and resonances of this operator, and theirs dependence on the magnetic field. The proof is reduced to the analysis of the periodic Jacobi operators on the half-line with finitely supported perturbations.
Schrödinger operators with a singular potential.
Schrödingers Operators with Singular Magnetic Vector Potentials.
Schur multiplier characterization of a class of infinite matrices
Let denote the space of infinite matrices for which for all with . We characterize the upper triangular positive matrices from , , by using a special kind of Schur multipliers and the G. Bennett factorization technique. Also some related results are stated and discussed.
Schur΄s Theorem for Operators
Schwach irreduzible Markoff-Operatoren.
Schwartz kernel theorem in algebras of generalized functions
A new approach to the generalization of Schwartz’s kernel theorem to Colombeau algebras of generalized functions is given. It is based on linear maps from algebras of classical functions to algebras of generalized ones. In particular, this approach enables one to give a meaning to certain hypotheses in preceding similar work on this theorem. Results based on the properties of -generalized functions class are given. A straightforward relationship between the classical and the generalized versions...
Schwartz spaces and compact holomorphic mappings.
Schwartz spaces associated with some non-differential convolution operators on homogeneous groups
Schwarz-like methods for approximate solving cooperative systems
The aim of this contribution is to propose and analyze some computational means to approximate solving mathematical problems appearing in some recent studies devoted to biological and chemical networks.
Second order elliptic operators with complex bounded measurable coefficients in , Sobolev and Hardy spaces
Let be a second order divergence form elliptic operator with complex bounded measurable coefficients. The operators arising in connection with , such as the heat semigroup and Riesz transform, are not, in general, of Calderón-Zygmund type and exhibit behavior different from their counterparts built upon the Laplacian. The current paper aims at a thorough description of the properties of such operators in , Sobolev, and some new Hardy spaces naturally associated to . First, we show that the...
Selbstadjungierte Differentialoperatoren und nukleare (F)-Räume in A2 (C0).
Selbstadjungierte Operatoren als ?dual" rein atomare Skalaroperatoren.
Self-adjoint differential vector-operators and matrix Hilbert spaces I
In the current work a generalization of the famous Weyl-Kodaira inversion formulas for the case of self-adjoint differential vector-operators is proved. A formula for spectral resolutions over an analytical defining set of solutions is discussed. The article is the first part of the planned two-part survey on the structural spectral theory of self-adjoint differential vector-operators in matrix Hilbert spaces.