Results 1 to 10 of about 15,675 (260)
Optimal control of singular Fourier multipliers by maximal operators [PDF]
, 2013 We control a broad class of singular (or "rough") Fourier multipliers by geometrically-defined maximal operators via general weighted $L^2(\mathbb{R})$ norm inequalities. The multipliers involved are related to those of Coifman--Rubio de Francia--Semmes,
Bennett, Jonathan
core +2 more sources
Pointwise multipliers of Orlicz spaces
Archiv der Mathematik, 2010 Let \((\Omega,\Sigma,\mu)\) be a complete \(\sigma\)-finite measure space and let \(L^0(\Omega)\) denote the class of measurable functions on \(\Omega\). If \((X,\|\cdot\|_X)\), \((Y,\|\cdot\|_Y)\) are Banach spaces of functions in \(L^0(\Omega)\), then \(M(X,Y)\), the space of pointwise multipliers, is defined by \[ M(X,Y)= \{y\in L^0(W): xy\in Y\text{
Maligranda, Lech, Nakai, Eiichi
openaire +4 more sources
Hardy type inequality in variable Lebesgue spaces [PDF]
, 2008 We prove that in variable exponent spaces $L^{p(\cdot)}(\Omega)$, where $p(\cdot)$ satisfies the log-condition and $\Omega$ is a bounded domain in $\mathbf R^n$ with the property that $\mathbf R^n \backslash \bar{\Omega}$ has the cone property, the ...
Rafeiro, Humberto, Samko, Stefan
core +3 more sources
Multipliers in Holomorphic Mean Lipschitz Spaces on the Unit Ball
Abstract and Applied Analysis, 2012 For 1≤p≤∞ and s>0, let Λsp be holomorphic mean Lipschitz spaces on the unit ball in ℂn. It is shown that, if s>n/p, the space Λsp is a multiplicative algebra. If s>n/p, then the space Λsp is not a multiplicative algebra.
Hong Rae Cho
doaj +1 more source
On Scales of Sobolev spaces associated to generalized Hardy operators
, 2021 We consider the fractional Laplacian with Hardy potential and study the scale of homogeneous $L^p$ Sobolev spaces generated by this operator. Besides generalized and reversed Hardy inequalities, the analysis relies on a H\"ormander multiplier theorem ...
Merz, Konstantin
core +1 more source
Weighted composition operators in functional Banach spaces: an axiomatic approach [PDF]
, 2020 We work with very general Banach spaces of analytic functions in the disk or other domains which satisfy a minimum number of natural axioms. Among the preliminary results, we discuss some implications of the basic axioms and identify all functional ...
Arévalo, Irina, Vukotić, Dragan
core +2 more sources
Permanence of approximation properties for discrete quantum groups [PDF]
, 2014 We prove several results on the permanence of weak amenability and the Haagerup property for discrete quantum groups. In particular, we improve known facts on free products by allowing amalgamation over a finite quantum subgroup.
Freslon, Amaury
core +2 more sources
New estimates for the maximal singular integral [PDF]
, 2009 In this paper we pursue the study of the problem of controlling the maximal singular integral $T^{*}f$ by the singular integral $Tf$. Here $T$ is a smooth homogeneous Calder\'on-Zygmund singular integral of convolution type.
Centre de Recerca Matemàtica +4 more
core +3 more sources
Kohn-Sham equations for nanowires with direct current
, 2003 The paper describes the derivation of the Kohn-Sham equations for a nanowire with direct current. A value of the electron current enters the problem as an input via a subsidiary condition imposed by pointwise Lagrange multiplier.
D. S. Kosov, Grossmann F.
core +1 more source
Sparse bilinear forms for Bochner Riesz multipliers and applications [PDF]
, 2016 We use the very recent approach developed by Lacey in [23] and extended by Bernicot-Frey-Petermichl in [3], in order to control Bochner-Riesz operators by a sparse bilinear form.
Benea, Cristina +2 more
core +4 more sources