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This note characterizes both boundedness and compactness of a composition operator between any two analytic Campanato spaces on the unit complex disk.

Functional Analysis · Mathematics 2012-07-25 Jie Xiao , Wen Xu

In \cite{PSMA}, Pal et al. introduced some weighted means and gave some related inequalities by using an approach for operator monotone functions. This paper discusses the construction of these weighted means in a simple and nice setting…

Functional Analysis · Mathematics 2020-05-26 Mustapha Raïssouli , Shigeru Furuichi

We found several new equivalent characterizations for the boundedness and compactness of the differences of weighted differentiation composition operators from Bloch-type space to weighted-type space. Especially, we estimated its essential…

Functional Analysis · Mathematics 2016-10-07 Yu-Xia Liang

A weighted composition operator on a reproducing kernel Hilbert space is given by a composition, followed by a multiplication. We study unitary and co-isometric weighted composition operators on unitarily invariant spaces on the Euclidean…

Functional Analysis · Mathematics 2025-12-23 Michael Hartz , Maximilian Tornes

This note is dedicated to the study of a Hopf module structures on the space of framed chord diagrams and framed graphs. We also introduce a framed version of the chromatic polynomial and propose two methods to construct framed weight…

Geometric Topology · Mathematics 2014-04-25 Maksim Karev

We characterise modulation spaces by suitable Wiener estimates on the short-time Fourier transforms of the involved functions and distributions. We use the results to refine some formulae on periodic distributions with Lebesgue estimates on…

Functional Analysis · Mathematics 2019-03-20 Joachim Toft

Weakly centered and spectrally weakly cenetered weighted composition operators in $L^2$-spaces are characterized. Criteria for existence of invariant subspaces are given. Additional results and examples are supplied.

Functional Analysis · Mathematics 2025-10-23 Piotr Budzyński

Bounded and compact product of Volterra type integral and composition operators acting between weighted Fock spaces are described. We also estimate the norms of these operators in terms of Berezin type integral transforms on the complex…

Complex Variables · Mathematics 2015-06-02 Tesfa Mengestie

The main purpose of this paper is to investigate characterizations of composition operators on Bloch and Hardy type spaces. Initially, we use general doubling weights to study the composition operators from harmonic Bloch type spaces on the…

Complex Variables · Mathematics 2023-12-11 Shaolin Chen , Hidetaka Hamada

We present important characterizations of the Weighted Composition Operator over the Mittag Leffler space of entire functions. These characterizations include the Hilbert-Schmidt and Unitary char-acterizations of the Weighted Composition…

Functional Analysis · Mathematics 2021-10-22 Himanshu Singh

In this paper, we introduce a general class of weighted spaces of holomorphic Dirichlet series (with real frequencies) analytic in some half-plane and study composition operators on these spaces. In the particular case when the symbol…

Functional Analysis · Mathematics 2021-04-15 Emmanuel Fricain , Camille Mau

We prove a characterization of the dual mixed volume in terms of functional properties of the polynomial associated to it. To do this, we use tools from the theory of multilinear operators on spaces of continuos functions. Along the way we…

Functional Analysis · Mathematics 2014-08-29 Carlos H. Jiménez , Ignacio Villanueva

In this paper we approach the two weighted boundedness of commutators via matrix weights. This approach provides both a sufficient and a necessary condition for the two weighted boundedness of commutators with an arbitrary linear operator…

Classical Analysis and ODEs · Mathematics 2020-01-31 Joshua Isralowitz , Sandra Pott , Sergei Treil

The boundedness and compactness of weighted composition operators from $H^\infty$ to the Bloch space in the unit ball of Cn are investigated in this paper. In particular, some new characterizations for the boundedness and the essential norm…

Complex Variables · Mathematics 2018-01-08 Juntao Du , Songxiao Li

In this thesis, we establish a necessary and sufficient condition for a weighted composition operator to commute with a self-adjoint weighted composition operator on the Fock space, then obtain a sufficient condition for these commuting…

Functional Analysis · Mathematics 2024-03-26 Rui Hu

In the last decade, the problem of characterizing the normability of the weighted Lorentz spaces has been completely solved (\cite{Sa}, \cite{CaSoA}). However, the question for multidimensional Lorentz spaces is still open. In this paper,…

Classical Analysis and ODEs · Mathematics 2007-05-23 Sorina Barza , Anna Kaminska , Lars-Erik Persson , Javier Soria

Suitable duals of multimodules are introduced and used to provide transposition contravariant right semi-adjunctions (and dualitites under reflexivity). Several additional notions on multimodules are discussed: generalized morphisms and…

Category Theory · Mathematics 2025-08-28 Paolo Bertozzini , Roberto Conti , Chatchai Puttirungroj

In this paper we consider composition operator generated by nonsingular measurable transformation between two different Grand Lebesgue Spaces (GLS); we investigate the boundedness, compactness and essential norm of composition operators.

Functional Analysis · Mathematics 2013-08-09 E. Ostrovsky , L. Sirota

In this work we propose composition products in the class of complex harmonic functions so that the composition of two such functions is again a complex harmonic function. From here we begin the study of the iterations of the functions of…

Complex Variables · Mathematics 2022-02-08 Luis E. Benítez , Raúl Felipe

We use categorical method and birational geometry to study moduli spaces of quiver representations. From certain "representable" functor, we construct a birational transformation from the moduli space of representations of one quiver to…

Algebraic Geometry · Mathematics 2013-04-15 Jiarui Fei