[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 …

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 …

Generalized Morrey spaces and trace operator

S Nakamura, T Noi, Y Sawano - Science China Mathematics, 2016 - Springer
The theory of generalized Besov-Morrey spaces and generalized Triebel-Lizorkin-Morrey
spaces is developed. Generalized Morrey spaces, which Mizuhara and Nakai proposed, are …

Generalized weighted Morrey spaces and classical operators

S Nakamura - Mathematische Nachrichten, 2016 - Wiley Online Library
We introduce the notion of generalized weighted Morrey spaces and investigate the
boundedness of some operators in these spaces, such as the Hardy–Littlewood maximal …

Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz–Morrey spaces of the third kind

F Deringoz, VS Guliyev, E Nakai, Y Sawano, M Shi - Positivity, 2019 - Springer
In the present paper, we will characterize the boundedness of the generalized fractional
integral operators I_ ρ I ρ and the generalized fractional maximal operators M_ ρ M ρ on …

The singular integral operator and its commutator on weighted Morrey spaces

S Nakamura, Y Sawano - Collectanea mathematica, 2017 - Springer
In this paper, we give necessary conditions and sufficient conditions respectively for the
boundedness of the singular integral operator on the weighted Morrey spaces. We observe …

Calderón–Zygmund operators and their commutators on generalized weighted Orlicz–Morrey spaces

F Deringoz, VS Guliyev, MN Omarova… - Bulletin of Mathematical …, 2023 - World Scientific
In this paper, we obtain the necessary and sufficient conditions for the weak/strong
boundedness of the Calderón–Zygmund operators in generalized weighted Orlicz–Morrey …

Inclusion properties of generalized Morrey spaces

H Gunawan, DI Hakim, KM Limanta… - Mathematische …, 2017 - Wiley Online Library
This paper discusses the structure of Morrey spaces, weak Morrey spaces, generalized
Morrey spaces, and generalized weak Morrey spaces. Some necessary and sufficient …

Characterizations for the fractional maximal commutator operator in generalized Morrey spaces on Carnot group

V Guliyev, I Ekincioglu, E Kaya… - Integral Transforms and …, 2019 - Taylor & Francis
In this paper, we will obtain the new results of the strong and weak Spanne-Guliyev, Adams-
Guliyev and Adams-Gunawan type boundedness characterization of the fractional maximal …

Commutators of fractional maximal operator on generalized Orlicz–Morrey spaces

F Deringoz, VS Guliyev, SG Hasanov - Positivity, 2018 - Springer
In the present paper, we shall give necessary and sufficient conditions for the Spanne and
Adams type boundedness of the commutators of fractional maximal operator on generalized …