Results 1 to 10 of about 11,591 (95)
Spaces of Pointwise Multipliers on Morrey Spaces and Weak Morrey Spaces
The spaces of pointwise multipliers on Morrey spaces are described in terms of Morrey spaces, their preduals, and vector-valued Morrey spaces introduced by Ho. This paper covers weak Morrey spaces as well.
Eiichi Nakai, Yoshihiro Sawano
exaly +3 more sources
Pointwise Multipliers on Weak Morrey Spaces
We consider generalized weak Morrey spaces with variable growth condition on spaces of homogeneous type and characterize the pointwise multipliers from a generalized weak Morrey space to another one.
Ryota Kawasumi, Eiichi Nakai
exaly +2 more sources
Multipliers in weighted Sobolev spaces on the axis [PDF]
This work establishes necessary and sufficient conditions for the boundedness of one variable differential operator acting from a weighted Sobolev space Wlp,v to a weighted Lebesgue space on the positive real half line.
A. Myrzagaliyeva
doaj +2 more sources
Weighted composition operators in functional Banach spaces: an axiomatic approach [PDF]
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
Optimal bilinear control problem related to a chemo-repulsion system in 2D domains [PDF]
In this paper we study a bilinear optimal control problem associated to a chemo-repulsion model with linear production term. We analyze the existence, uniqueness and regularity of pointwise strong solutions in a bidimensional domain.
González, Francisco Guillén +2 more
core +2 more sources
Subdyadic square functions and applications to weighted harmonic analysis [PDF]
Through the study of novel variants of the classical Littlewood-Paley-Stein $g$-functions, we obtain pointwise estimates for broad classes of highly-singular Fourier multipliers on $\mathbb{R}^d$ satisfying regularity hypotheses adapted to fine ...
Beltran, David, Bennett, Jonathan
core +3 more sources
Hardy type inequality in variable Lebesgue spaces [PDF]
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
Optimal control of singular Fourier multipliers by maximal operators [PDF]
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
Traces of multipliers in pairs of weighted Sobolev spaces
We prove that the pointwise multipliers acting in a pair of fractional Sobolev spaces form the space of boundary traces of multipliers in a pair of weighted Sobolev space of functions in a domain.
Vladimir Maz'ya, Tatyana Shaposhnikova
doaj +1 more source
Smooth pointwise multipliers of modulation spaces
Let 1 < p, q < ∞ and s, r ∈ ℝ. It is proved that any function in the amalgam space W(Hrp(ℝd), ℓ∞), where p' is the conjugate exponent to p and Hrp′ (ℝd) is the Bessel potential space, defines a bounded pointwise multiplication operator in the modulation ...
Narimani Ghassem
doaj +1 more source

