Results 11 to 20 of about 4,089 (272)

R-boundedness, pseudodifferential operators, and maximal regularity for some classes of partial differential operators

open access: yes, 2006
It is shown that an elliptic scattering operator $A$ on a compact manifold with boundary with coefficients in the bounded operators of a bundle of Banach spaces of class (HT) and Pisier's property $( )$ has maximal regularity (up to a spectral shift), provided that the spectrum of the principal symbol of $A$ on the scattering cotangent bundle of the ...
Denk, Robert, Krainer, Thomas
core   +8 more sources

R-boundedness Approach to linear third differential equations in a UMD Space

open access: yes, 2017
The aim of this work is to study the existence of a periodic solutions of third order differential equations $z'''(t) = Az(t) + f(t)$ with the periodic condition $x(0) = x(2 ), x'(0) = x'(2 )$ and $x''(0) = x''(2 )$. Our approach is based on the R-boundedness and $L^{p}$-multiplier of linear operators.
Rachid, Bahloul
openaire   +3 more sources

On the Hereditary Properties of Modular Nets

open access: yesМоделирование и анализ информационных систем, 2015
Hereditary graph properties are those that can be inherited from the graph to all its subgraphs (such as planarity). Modular nets of active resources is a (Petri nets)- powerful formalism with simple modular syntax.
V. A. Bashkin
doaj   +3 more sources

Characterizations for the Riesz potential and its commutators on generalized Orlicz-Morrey spaces

open access: yesJournal of Inequalities and Applications, 2016
In the present paper, we shall give a characterization for the Spanne and Adams type boundedness of the Riesz potential and its commutators on the generalized Orlicz-Morrey spaces, respectively.
Fatih Deringoz   +2 more
doaj   +1 more source

A note on maximal operators related to Laplace-Bessel differential operators on variable exponent Lebesgue spaces

open access: yesOpen Mathematics, 2021
In this paper, we consider the maximal operator related to the Laplace-Bessel differential operator (BB-maximal operator) on Lp(⋅),γ(Rk,+n){L}_{p\left(\cdot ),\gamma }\left({{\mathbb{R}}}_{k,+}^{n}) variable exponent Lebesgue spaces.
Kaya Esra
doaj   +1 more source

On the Riesz Potential and Its Commutators on Generalized Orlicz-Morrey Spaces

open access: yesJournal of Function Spaces, 2014
We consider generalized Orlicz-Morrey spaces MΦ,φ(ℝn) including their weak versions WMΦ,φ(ℝn). In these spaces we prove the boundedness of the Riesz potential from MΦ,φ1(ℝn) to MΨ,φ2(ℝn) and from MΦ,φ1(ℝn) to WMΨ,φ2(ℝn). As applications of those results,
Vagif S. Guliyev, Fatih Deringoz
doaj   +1 more source

Maximal regularity for non-autonomous equations with measurable dependence on time [PDF]

open access: yes, 2016
In this paper we study maximal $L^p$-regularity for evolution equations with time-dependent operators $A$. We merely assume a measurable dependence on time. In the first part of the paper we present a new sufficient condition for the $L^p$-boundedness of
A Yagi   +56 more
core   +3 more sources

Multilinear Commutators of Calderón-Zygmund Operator on Generalized Weighted Morrey Spaces

open access: yesJournal of Function Spaces, 2014
The boundedness of multilinear commutators of Calderón-Zygmund operator Tb→ on generalized weighted Morrey spaces Mp,φ(w) with the weight function w belonging to Muckenhoupt's class Ap is studied.
Vagif S. Guliyev, Farida Ch. Alizadeh
doaj   +1 more source

Subadditive periodic functions [PDF]

open access: yesOpuscula Mathematica, 2011
Some conditions under which any subadditive function is periodic are presented. It is shown that the boundedness from below in a neighborhood of a point of a subadditive periodic (s.p.) function implies its nonnegativity, and the boundedness from above ...
Janusz Matkowski
doaj   +1 more source

On semi-R-boundedness and its applications

open access: yesJournal of Mathematical Analysis and Applications, 2010
Let \(X, Y\) be Banach spaces and \((r_n)_{n\geq1}\) be a Rademacher sequence on a probability space \((\Omega, \mathcal{A}, \mathbb{P})\). A collection \(\Gamma\subseteq\mathcal {L}(X,Y)\) is said to be \(R\)-bounded if there exists a constant \(M\geq0\) such that \[ \left(\mathbb{E}\left\|\sum_{n=1}^{N}r_nT_nx_n \right\|^2\right)^\frac{1}{2}\leq M ...
Veraar, Mark, Weis, Lutz
openaire   +2 more sources

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