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In this series of papers we study subspaces of de Branges spaces of entire functions which are generated by majorization on subsets $D$ of the closed upper half-plane. The present, first, part is addressed to the question which subspaces of…

Complex Variables · Mathematics 2010-05-18 Anton Baranov , Harald Woracek

We continue our investigations on pointwise multipliers for Besov spaces of dominating mixed smoothness. This time we study the algebra property of the classes $S^r_{p,q}B(\mathbb{R}^d)$ with respect to pointwise multiplication. In addition…

Functional Analysis · Mathematics 2017-05-01 Van Kien Nguyen , Winfried Sickel

In this paper, we consider the trace theorem for modulation spaces, alpha modulation spaces and Besov spaces. For the modulation space, we obtain the sharp results.

Functional Analysis · Mathematics 2008-12-02 Hans Feichtinger , Chunyan Huang , Baoxiang Wang

Expander graphs have been, during the last five decades, the subject of a most fruitful interaction between pure mathematics and computer science, with influence and applications going both ways (cf. [Lub94], [HLW06], [Lub12] and the…

Group Theory · Mathematics 2017-12-08 Alexander Lubotzky

We survey the problem of whether M_3 spaces are M_1 spaces.

General Topology · Mathematics 2007-05-23 Takemi Mizokami

In this paper we consider Fourier multiplier operators between vector-valued Besov spaces with different integrability exponents $p$ and $q$, which depend on the type $p$ and cotype $q$ of the underlying Banach spaces. In a previous paper…

Functional Analysis · Mathematics 2017-10-18 Jan Rozendaal , Mark Veraar

Inspired by a recent work about distribution frames, the definition of multiplier operator is extended in the rigged Hilbert spaces setting and a study of its main properties is carried on. In particular, conditions for the density of…

Functional Analysis · Mathematics 2023-10-31 Rosario Corso , Francesco Tschinke

We define a kind of moduli space of nested surfaces and mappings, which we call a comparison moduli space. We review examples of such spaces in geometric function theory and modern Teichmueller theory, and illustrate how a wide range of…

Complex Variables · Mathematics 2017-07-31 Eric Schippers , Wolfgang Staubach

In this paper, we introduce the concept of $K$-fusion frames and propose the duality for such frames. The relation between the local frames of $K$-fusion frames with their dual is studied. The elements from the range of a bounded linear…

Functional Analysis · Mathematics 2018-08-07 Mitra Shamsabadi , Ali Akbar Arefijamaal , Ghadir Sadeghi

We note that in large space shell model calculaiotns and experiment one sometimes get results, the form of which also appear in smaller space calculations. On the other hand there are some results which demand the large space approach.

Nuclear Theory · Physics 2016-01-06 Larry Zamick , Xiafei Yu

This paper uses differential spaces to obtain some new results in integrable Hamiltonian systems

Symplectic Geometry · Mathematics 2017-09-01 Richard Cushman , Jedrzej Sniatycki

Pairs of metrics in a two-dimensional linear vector space are considered, one of which is a Minkowski type metric. Their simultaneous diagonalizability is studied and canonical presentations for them are suggested.

Metric Geometry · Mathematics 2007-10-23 Ruslan Sharipov

We investigate a tangent space at a point of a general metric space and metric space valued derivatives. The conditions under which two different subspace of a metric space have isometric tangent spaces in a common point of these subspaces…

Metric Geometry · Mathematics 2009-04-29 O. Dovgoshey

This note tries to give an answer to the following question: Is there a sufficiently rich class of metric vector spaces such that sufficiently large spaces of continuous linear maps between them are metrizable?

Functional Analysis · Mathematics 2015-05-13 Olaf Müller

Let $(\Omega_1, \mathcal{F}_1, \mu_1)$ and $(\Omega_2, \mathcal{F}_2, \mu_2)$ be two measure spaces and let $1 \leq p,q \leq +\infty$. We give a definition of Schur multipliers on $\mathcal{B}(L^p(\Omega_1), L^q(\Omega_2))$ which extends…

Functional Analysis · Mathematics 2017-03-24 Clément Coine

Let $\mathbb B_n$ be the open unit ball in $\mathbb C^n$. We characterize the spectra of pointwise multipliers $M_u$ acting on Banach spaces of analytic functions on $\mathbb B_n$ satisfying some general conditions. These spaces include…

Functional Analysis · Mathematics 2020-02-18 Mikael Lindström , Santeri Miihkinen , David Norrbo

Let $(h_I)$ denote the standard Haar system on $[0,1]$, indexed by $I\in \mathcal D$, the set of dyadic intervals and $h_I\otimes h_J$ denote the tensor product $(s,t)\mapsto h_I(s) h_J(t)$, $I,J\in \mathcal D$. We consider a class of…

Functional Analysis · Mathematics 2023-12-06 Richard Lechner , Pavlos Motakis , Paul F. X. Müller , Thomas Schlumprecht

We list multiplier and convolutor spaces of the spaces occurring in L. Schwartz' "Th\'eorie des distributions". Furthermore we clarify whether the multiplications and convolutions are continuous or not.

Functional Analysis · Mathematics 2013-02-06 Julian Larcher

In this paper, Lambert multipliers acting between Orlicz spaces are characterized based on conditional expectation operators. Also, we give necessary and sufficient conditions to *-multiplication operators to be closed range. Finally, the…

Functional Analysis · Mathematics 2019-01-07 Jahangir Cheshmavar , Seyed Kamel Hosseini

We extend an $L^2$ maximal multiplier result of Bourgain to all $L^p$ spaces, $1<p<\infty$.

Classical Analysis and ODEs · Mathematics 2009-01-27 Ciprian Demeter