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Schatten class weighted composition operators on Bergman spaces of bounded strongly pseudoconvex domains

Xiangdong Yang (2013)

Open Mathematics

We characterize the Schatten class weighted composition operators on Bergman spaces of bounded strongly pseudoconvex domains in terms of the Berezin transform.

Schauder Type Theorems for Differentiable and Holomorphic Mappings.

M. González, J.M. Gutiérrez (1996)

Monatshefte für Mathematik

Schwach irreduzible Markoff-Operatoren.

Rainer Wittmann (1988)

Monatshefte für Mathematik

Schwartz spaces associated with some non-differential convolution operators on homogeneous groups

Jacek Dziubański (1992)

Colloquium Mathematicae

Second order elliptic operators with complex bounded measurable coefficients in $L^{p}$ , Sobolev and Hardy spaces

Steve Hofmann, Svitlana Mayboroda, Alan McIntosh (2011)

Annales scientifiques de l'École Normale Supérieure

Let $L$ be a second order divergence form elliptic operator with complex bounded measurable coefficients. The operators arising in connection with $L$ , 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 $L^{p}$ , Sobolev, and some new Hardy spaces naturally associated to $L$ . First, we show that the...

Self-adjoint extensions by additive perturbations

Andrea Posilicano (2003)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Let $A_{𝒩}$ be the symmetric operator given by the restriction of $A$ to $𝒩$ , where $A$ is a self-adjoint operator on the Hilbert space $ℋ$ and $𝒩$ is a linear dense set which is closed with respect to the graph norm on $D (A)$ , the operator domain of $A$ . We show that any self-adjoint extension $A_{Θ}$ of $A_{𝒩}$ such that $D (A_{Θ}) \cap D (A) = 𝒩$ can be additively decomposed by the sum $A_{Θ} = \bar{A} + T_{Θ}$ , where both the operators $\bar{A}$ and $T_{Θ}$ take values in the strong dual of $D (A)$ . The operator $\bar{A}$ is the closed extension of $A$ to the whole $ℋ$ whereas $T_{Θ}$ is explicitly written in terms...

Sequences of differential operators: exponentials, hypercyclicity and equicontinuity

L. Bernal-González, J. A. Prado-Tendero (2001)

Annales Polonici Mathematici

An eigenvalue criterion for hypercyclicity due to the first author is improved. As a consequence, some new sufficient conditions for a sequence of infinite order linear differential operators to be hypercyclic on the space of holomorphic functions on certain domains of $ℂ^{N}$ are shown. Moreover, several necessary conditions are furnished. The equicontinuity of a family of operators as above is also studied, and it is characterized if the domain is $ℂ^{N}$ . The results obtained extend or improve earlier work...

Sharp determinants.

V. Baladi, D. Ruelle (1996)

Inventiones mathematicae

Singular integrals in weighted Lebesgue spaces with variable exponent.

Kokilashvili, V., Samko, S. (2003)

Georgian Mathematical Journal

Singular integrals supported on the image of an analytic function.

Linda Saal, Marta Urciuolo (1991)

Mathematische Zeitschrift

Small bound isomorphisms of the domain of a closed *-derivation.

Matsumoto, Toshiko, Watanabe, Seiji (2000)

International Journal of Mathematics and Mathematical Sciences

Sobolev multipliers

Kelly McKennon (1980)

Czechoslovak Mathematical Journal

Sobre operadores de integración fraccional y algoritmos computacionales

Omar E. Meyer C., Shyam Kalla (1990)

Revista colombiana de matematicas

Some classical operators on Lorentz space.

C.J. NEUGEBAUER (1992)

Forum mathematicum

Some examples concerning applicability of the Fredholm-Radon method in potential theory

Josef Král, Wolfgang L. Wendland (1986)

Aplikace matematiky

Simple examples of bounded domains $D \subset 𝐑^{3}$ are considered for which the presence of peculiar corners and edges in the boundary $δ D$ causes that the double layer potential operator acting on the space $𝒮 (δ D)$ of all continuous functions on $δ D$ can for no value of the parameter $α$ be approximated (in the sub-norm) by means of operators of the form $α I + T$ (where $I$ is the identity operator and $T$ is a compact linear operator) with a deviation less then $| α |$ ; on the other hand, such approximability turns out to be possible for...

Some problems on narrow operators on function spaces

Mikhail Popov, Evgenii Semenov, Diana Vatsek (2014)

Open Mathematics

It is known that if a rearrangement invariant (r.i.) space E on [0, 1] has an unconditional basis then every linear bounded operator on E is a sum of two narrow operators. On the other hand, for the classical space E = L 1[0, 1] having no unconditional basis the sum of two narrow operators is a narrow operator. We show that a Köthe space on [0, 1] having “lots” of nonnarrow operators that are sum of two narrow operators need not have an unconditional basis. However, we do not know if such an r.i....

Some properties of endomorphisms of Lipschitz algebras

Herbert Kamowitz, Stephen Scheinberg (1990)

Studia Mathematica

Some remarks on the asymptotic behaviour of the iterates of a bounded linear operator

Anatoliĭ Antonevich, Jürgen Appell, Petr Zabreĭko (1994)

Studia Mathematica

We discuss the problem of characterizing the possible asymptotic behaviour of the norm of the iterates of a bounded linear operator between two Banach spaces. In particular, given an increasing sequence of positive numbers tending to infinity, we construct Banach spaces such that the norm of the iterates of a suitable multiplication operator between these spaces assumes (or exceeds) the values of this sequence.

Some remarks on time-dependent evolution systems in the hyperbolic case

Silvano Delladio (1990)

Rendiconti del Seminario Matematico della Università di Padova

Spaces of D-paraanalytic elements [Book]

D. Przeworska-Rolewicz (1990)

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