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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …