On integral operators with operator-valued kernels.
On K-transform.
On solvability of nonlinear equations.
On some structural properties of Banach function spaces and boundedness of certain integral operators
In this paper the notions of uniformly upper and uniformly lower -estimates for Banach function spaces are introduced. Further, the pair of Banach function spaces is characterized, where and satisfy uniformly a lower -estimate and uniformly an upper -estimate, respectively. The integral operator from into of the form is studied, where , , are prescribed functions under some local integrability conditions, the kernel is non-negative and is assumed to satisfy certain additional...
On the integral operators of the third kind.
On the localization of the spectrum for quasi-selfadjoint extensions of a Carleman operator
In the present work, using a formula describing all scalar spectral functions of a Carleman operator of defect indices in the Hilbert space that we obtained in a previous paper, we derive certain results concerning the localization of the spectrum of quasi-selfadjoint extensions of the operator .
On the pseudospectra of multidimensional integral operators with homogeneous kernels of degree .
On the solution of the Liouville equation over a rectangle.
On the Spectra of Finite-Dimensional Pertobations of Matrix Multiplication Operators.
On the two-fold symbol chain of a C*-algebra of singular integral operators on a polycylinder.
On weighted Hadamard-type singular integrals and their applications.
Opérateurs intégro-différentiels méromorphes et opérateurs aux différences
On introduit une classe d’opérateurs intégro-différentiels d’ordre infini, à coefficients méromorphes et pour lesquels les séries majorantes sont de type Dirichlet. On établit des résultats algébriques : caractérisation des éléments inversibles, théorèmes de division et de préparation. En les faisant opérer sur divers espaces de séries et de fonctions on obtient des théorèmes d’indices et des résultats de surjectivité. Après transformation de Mellin ces opérateurs permettent d’étudier les “solutions”...
Properties of operators related to the Boltzmann collision term
Quelques applications de la positivité en théorie du transport
Remark on the Fredholm alternative for nonlinear operators with application to nonlinear integral equations of generalized Hammerstein type
Riesz transforms and related singular integrals.
Singular integral operators on manifolds with a boundary.
Some Estimates of the Remainder in the Expressions for the Eigenvalue Asymptotics of Some Singular Integral Operators
Some results on the ultimate behavior of solutions of Volterra functional-differential equations
Spectra of partial integral operators with a kernel of three variables
Let Ω= [a, b] × [c, d] and T 1, T 2 be partial integral operators in (Ω): (T 1 f)(x, y) = k 1(x, s, y)f(s, y)ds, (T 2 f)(x, y) = k 2(x, ts, y)f(t, y)dt where k 1 and k 2 are continuous functions on [a, b] × Ω and Ω × [c, d], respectively. In this paper, concepts of determinants and minors of operators E−τT 1, τ ∈ ℂ and E−τT 2, τ ∈ ℂ are introduced as continuous functions on [a, b] and [c, d], respectively. Here E is the identical operator in C(Ω). In addition, Theorems on the spectra of bounded...