Morrey-Campanato spaces: an overview

H Rafeiro, N Samko, S Samko - Operator Theory, Pseudo-Differential …, 2013 - Springer
In this paper we overview known and recently obtained results on Morrey-Campanato
spaces with respect to the properties of the spaces themselves, that is, we do not touch the …

[图书][B] Integral operators in non-standard function spaces

VM Kokilashvili, A Meskhi, H Rafeiro, SG Samko - 2016 - Springer
This book is a result of our ten-year fruitful collaboration. It deals with integral operators of
harmonic analysis and their various applications in new, non-standard function spaces …

[图书][B] Morrey spaces: introduction and applications to integral operators and PDE's, Volume I

Y Sawano - 2020 - taylorfrancis.com
Title: Morrey spaces: introduction and applications to integral operators and PDE's/Yoshihiro
Sawano, Giuseppe Di Fazio, Denny Ivanal Hakim. Description: First edition.| Boca Raton …

Recent progress in studying the boundedness of classical operators of real analysis in general Morrey-type spaces. I

VI Burenkov - Eurasian Mathematical Journal, 2012 - mathnet.ru
The survey is aimed at providing detailed information about recent results in the problem of
the boundedness in general Morrey-type spaces of various important operators of real …

[PDF][PDF] Boundedness of the maximal, potential and singular operators in the generalized Morrey spaces

VS Guliyev - Journal of inequalities and applications, 2009 - Springer
We consider generalized Morrey spaces with a general function defining the Morrey-type
norm. We find the conditions on the pair which ensures the boundedness of the maximal …

Boundedness of the fractional maximal operator in local Morrey-type spaces

VI Burenkov, A Gogatishvili, VS Guliyev… - … variables and elliptic …, 2010 - Taylor & Francis
The problem of boundedness of the fractional maximal operator M α, 0≤ α< n, in general
local Morrey-type spaces is reduced to the problem of boundedness of the supremal …

Boundedness of maximal, potential type, and singular integral operators in the generalized variable exponent Morrey type spaces

VS Guliyev, JJ Hasanov, SG Samko - Journal of Mathematical Sciences, 2010 - Springer
We consider generalized Morrey type spaces M^p\left(⋅\right),θ\left(⋅\right),ω\left(⋅\right)\
left(Ω\right) with variable exponents p (x), θ (r) and a general function ω (x, r) defining a …

A thought on generalized Morrey spaces

Y Sawano - arXiv preprint arXiv:1812.08394, 2018 - arxiv.org
Morrey spaces can complement the boundedness properties of operators that Lebesgue
spaces can not handle. Morrey spaces which we have been handling are called classical …

Boundedness of sublinear operators and commutators on generalized Morrey spaces

VS Guliyev, SS Aliyev, T Karaman… - Integral Equations and …, 2011 - Springer
In this paper the authors study the boundedness for a large class of sublinear operators T_
α, α ∈ 0, n) generated by Calderón–Zygmund operators (α= 0) and generated by Riesz …

Generalized local Morrey spaces and fractional integral operators with rough kernel

VS Guliyev - arXiv preprint arXiv:1212.6928, 2012 - arxiv.org
Let $ M_ {\Omega,\a} $ and $ I_ {\Omega,\a} $ be the fractional maximal and integral
operators with rough kernels, where $0<\a< n $. In this paper, we shall study the continuity …