Search
Search Results
-
Realization by a Differential Operator of the Annihilation Operator for Generalized Chebyshev Oscillator
We study a generalized Chebyshev oscillator associated with a point interaction for the discrete Schrödinger equation. Our goal is to find a...
-
Splitting Schemes with Additive Representation of the Operator at the Time Derivative
AbstractAdditive (splitting) schemes are used to contruct effective computational algorithms for approximately solving initial-boundary value...
-
Approximation Numbers of the Two-Dimensional Rectangular Hardy Operator
AbstractUpper and lower bounds are obtained for the approximation numbers of the two-dimensional rectangular Hardy operator on weighted Lebesgue...
-
The adjoint of an operator on a Banach space
Self-adjoint operators in smooth Banach spaces have been already defined in recent works. Here, we extend the concept of adjoint of an operator to...
-
On unbounded solutions for differential equations with mean curvature operator
We present necessary and sufficient conditions for the existence of unbounded increasing solutions to ordinary differential equations with mean...
-
Trace formula of the integro-differential operator on a quantum graph
In this paper we study the eigenvalue problem for integro-differential operators on a lasso graph. The trace formula of the operator is established...
-
A New Characterization of the Besov Spaces Associated with Hermite Operator
Let H = −Δ + ∣ x ∣ 2 be a Hermite operator, where Δ is the Laplacian on ℝ n . In this paper, we give a new characterization of the Besov space associated...
-
A Complementary Inequality for the Information Monotonicity of the Operator Perspective and Applications
We prove the information monotonicity of the operator perspective and a complementary inequality for the information monotonicity of the operator...
-
Eigenvalue estimates for a generalized Paneitz operator
In this paper, we give some universal inequalities for the eigenvalues of a generalized Paneitz operator on a bounded domain in a complete Riemannian...
-
Contact 3-Manifolds with Pseudo-parallel Characteristic Jacobi Operator
In this article, we study contact metric 3-manifolds with pseudo-parallel characteristic Jacobi operator. Contact metric 3-manifolds with...
-
Spectral Estimates of the Dirichlet-Laplace Operator in Conformal Regular Domains
We consider conformal spectral estimates of the Dirichlet–Laplace operator in conformal regular domains Ω ⊂ ℝ 2 , based on the geometric theory of...
-
The Double Layer Potential Operator on Hardy Spaces
Many studies have been done for one-dimensional Cauchy integral operator. We consider n -dimensional Cauchy integral operator for hypersurface, or we...
-
A Spectral Sobolev Problem for the Biharmonic Operator
AbstractConsider the biharmonic operator on the 3-dimensional torus with the domain given by functions vanishing on a circle inside the torus. We...
-
Perturbation of least squares problem of dual linear operator in dual-Hilbert spaces
We introduce the dual-Hilbert space and study the basic properties of a dual operator and its generalized inverse on this space. We provide upper...
-
Products of composition operator and differentiation operator of order n on the Hardy space
We consider the products of composition operator and differentiation operator of order n on the Hardy space. We provide a complete characterization...
-
Trotter-Kato Product Formulæ: Operator-Norm Topology
After strong convergence (Chap. 5 ), we elucidate in this and the next chapter one of the main topics...
-
On Substitutions with a Weight in the Space of Operator Lipschitz Functions
Operators of the form f ⟼ x β f ( x α ) are treated. Among other things, it is proved that such an operator acts on the class of operator Lipschitz...
-
Degenerate Third Order Differential-operator Equations
We consider the boundary value problem (BVP) for degenerate third order differential-operator equation. The study of linear differential equations,...