Idempotent Fourier multipliers acting contractively on $H^{P}$ spaces [PDF]
, 2021 We describe the idempotent Fourier multipliers that act contractively on $H^{p}$ spaces of the $d$-dimensional torus $\mathbb{T}^{d}$ for $d \geq 1$ and $1 \leq p \leq \infty .$ When $p$ is not an even integer, such multipliers are just restrictions of ...
Brevig, Ole Fredrik +2 more
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Approximation numbers of composition operators on $H^p$ spaces of Dirichlet series [PDF]
, 2015 By a theorem of Bayart, $\varphi$ generates a bounded composition operator on the Hardy space $\Hp$of Dirichlet series ($1\le p1/2$ if $c_0=0$ and is either identically zero or maps the right half-plane into itself if $c_0$ is positive.
Bayart, Frédéric +2 more
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The multiplicative Hilbert matrix [PDF]
, 2016 It is observed that the infinite matrix with entries $(\sqrt{mn}\log (mn))^{-1}$ for $m, n\ge 2$ appears as the matrix of the integral operator $\mathbf{H}f(s):=\int_{1/2}^{+\infty}f(w)(\zeta(w+s)-1)dw$ with respect to the basis $(n^{-s})_{n\ge 2}$; here
Brevig, Ole Fredrik +4 more
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Products of sequentially compact spaces and compactness with respect to a set of filters [PDF]
, 2014 Let $X$ be a product of topological spaces. $X$ is sequentially compact if and only if all subproducts by $\leq \mathfrak s$ factors are sequentially compact. If $\mathfrak s = \mathfrak h$, then $X$ is sequentially compact if and only if all factors are
Lipparini, Paolo
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Linear space properties of $H^p$ spaces of Dirichlet series [PDF]
, 2019 We study $H^p$ spaces of Dirichlet series, called $\mathcal{H}^p$, for the range ...
Bondarenko, Andriy +3 more
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Convergence of infinite element methods for scalar waveguide problems [PDF]
, 2014 We consider the numerical solution of scalar wave equations in domains which are the union of a bounded domain and a finite number of infinite cylindrical waveguides.
Hohage, Thorsten, Nannen, Lothar
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Compositional universality in the N-dimensional ball [PDF]
, 2007 It is proved in this note that a sequence of automorphisms on the N-dimensional unit ball acts properly discontinuously if and only if its corresponding sequence of composition operators is universal on the Hardy space of such ball, and if and only if ...
Bernal González, Luis +2 more
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Interpolation of Haagerup noncommutative Hardy spaces
, 2023 Let $\mathcal{M}$ be a $\sigma$-finite von Neumann algebra, equipped with a normal faithful state $\varphi$, and let $\mathcal{A}$ be maximal subdiagonal algebra of $\mathcal{M}$.
Bekjan, Turdebek N., Raikhan, Madi
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Isometries between the spaces of L^1 holomorphic quadratic differentials on Riemann surfaces of finite type [PDF]
, 2003 By applying the methods of V. Markovic [7] to the special case of Riemann surfaces of finite type, we obtain a transparent new proof of a classical result about isometries between the spaces of L^1 holomorphic quadratic differentials on such ...
Earle, Clifford J., Markovic, V.
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A Helson-Szeg\"o theorem for subdiagonal subalgebras with applications to Toeplitz operators
, 2013 We formulate and establish a noncommutative version of the well known Helson-Szego theorem about the angle between past and future for subdiagonal subalgebras.
Labuschagne, Louis E, Xu, Quanhua
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