The Bochner-Kolmogorov extension theorem for semispectral measures
The boundary behaviour of -valued functions analytic in the half-plane with nonnegative imaginary part
The boundedness of certain sublinear operator in the weighted variable Lebesgue spaces
The main purpose of this paper is to prove the boundedness of the multidimensional Hardy type operator in weighted Lebesgue spaces with a variable exponent. As an application we prove the boundedness of certain sublinear operators on the weighted variable Lebesgue space.
The boundedness of two classes of integral operators
The aim of this paper is to characterize the boundedness of two classes of integral operators from to in terms of the parameters , , , , and , , where is the Siegel upper half-space. The results in the presented paper generalize a corresponding result given in C. Liu, Y. Liu, P. Hu, L. Zhou (2019).
The C*-Algebra of a Singular Elliptic Problem on a Noncompact Riemannian Manifold.
The Cauchy problem of the one dimensional Schrödinger equation with non-local potentials.
The Cauchy-Riemann operator in infinite dimensional spaces.
The Cesàro and related operators, a survey
We provide a survey of properties of the Cesàro operator on Hardy and weighted Bergman spaces, along with its connections to semigroups of weighted composition operators. We also describe recent developments regarding Cesàro-like operators and indicate some open questions and directions of future research.
The class of convolution operators on the Marcinkiewicz spaces
Let denote the operator-norm closure of the class of convolution operators where is a suitable function space on . Let be the closed subspace of regular functions in the Marinkiewicz space , . We show that the space is isometrically isomorphic to and that strong operator sequential convergence and norm convergence in coincide. We also obtain some results concerning convolution operators under the Wiener transformation. These are to improve a Tauberian theorem of Wiener on .
The commutators of analysis and interpolation
The boundedness properties of commutators for operators are of central importance in Mathematical Analysis, and some of these commutators arise in a natural way from interpolation theory. Our aim is to present a general abstract method to prove the boundedness of the commutator for linear operators and certain unbounded operators that appear in interpolation theory, previously known and a priori unrelated for both real and complex interpolation methods, and also to show how the abstract result...
The compact endomorphisms of the metric linear spaces
The compactum and finite dimensionality in Banach algebras.
The compactum of a semi-simple commutative Banach algebra.
The comparison of spectrum of normalizable matrices
The complete hyperexpansivity analog of the Embry conditions
The Embry conditions are a set of positivity conditions that characterize subnormal operators (on Hilbert spaces) whose theory is closely related to the theory of positive definite functions on the additive semigroup ℕ of non-negative integers. Completely hyperexpansive operators are the negative definite counterpart of subnormal operators. We show that completely hyperexpansive operators are characterized by a set of negativity conditions, which are the natural analog of the Embry conditions for...
The Components of a Positive Operator.
The conjugate of the product of operators
The construction of normal bases for the space of continuous functions on , with the aid of operators
The continuity of Lie homomorphisms
We prove that the separating space of a Lie homomorphism from a Banach algebra onto a Banach algebra is contained in the centre modulo the radical.
The critical exponent of operators with constrained spectral radius