Results 21 to 30 of about 122 (83)

Grand Variable Herz-Morrey Type Besove Spaces and Triebel-Lizorkin Spaces

European Journal of Pure and Applied Mathematics
In the article, the boundedness of vector-valued sublinear operators in grand variable Herz-Morrey spaces $M \dot{K}_{ \lambda, p(\cdot)}^{\eta (\cdot), q), \theta}\left(\mathbb{R}^{n}\right)$ are obtained. Then grand variable Herz-Morrey type Besov and Triebel-Lizorkin spaces are defined.
Mehvish Sultan, Babar Sultan, Ioan-Lucian Popa   +2 more
openaire   +3 more sources

Applications of Littlewood‐Paley Theory for B˙σ‐Morrey Spaces to the Boundedness of Integral Operators

Journal of Function Spaces, Volume 2013, Issue 1, 2013., 2013
The boundedness of the various operators on B˙σ‐Morrey spaces is considered in the framework of the Littlewood‐Paley decompositions. First, the Littlewood‐Paley characterization of B˙σ‐Morrey‐Campanato spaces is established. As an application, the boundedness of Riesz potential operators is revisted.
Yasuo Komori-Furuya, Katsuo Matsuoka, Eiichi Nakai, Yoshihiro Sawano, Alberto Fiorenza   +4 more
wiley   +1 more source

Recent Developments of Function Spaces and Their Applications I [PDF]

, 2022
This book includes 13 papers concerning some of the recent progress in the theory of function spaces and its applications. The involved function spaces include Morrey and weak Morrey spaces, Hardy-type spaces, John–Nirenberg spaces, Sobolev spaces, and ...

core   +1 more source

Grand Weighted Variable Herz-Morrey Spaces Estimates for Higher Order Commutators of Fractional Integrals

, 2023
Abstract In this paper, we establish the boundedness for higher order commutators generated by fractional integral with BMO function Iβ,bm on weighted variable exponent Herz-Morrey spaces MḰq, p(·)}α,λ(ω). At the same time, we also get the boundedness for Iβ,bm on grand weighted variable exponent Herz-Morrey spaces MḰq, p(·)}α,λ(ω). AMS Subject
Ming Liu, Xiaobin Yao
openaire   +1 more source

On fractional operators in Stummel spaces [PDF]

, 2023
We give boundedness results for the fractional maximal operator and the Riesz potential operator in the framework of Stummel spaces with variable exponents ...
Almeida, Alexandre, Rafeiro, Humberto
core  

Some notes on commutators of the fractional maximal function on variable Lebesgue spaces

, 2019
Let ...
Si, Zengyan, Wu, Jianglong, Zhang, Pu
core   +1 more source

Morrey Spaces [PDF]

Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial differential equations.
Di Fazio, Giuseppe, Hakim, Denny Ivanal, Sawano, Yoshihiro   +2 more
core   +7 more sources

Homogeneous Grand Mixed Herz–Morrey Spaces and Their Applications

Axioms
In this paper, we introduce the homogeneous grand mixed Herz–Morrey spaces MK˙q˜,λα,p),θ(Rn) and investigate their fundamental properties. We further explore the boundedness of sublinear operators and fractional-type operators on these spaces, establishing new results that contribute to the broader understanding of their applications.
Xiaoxi Xia, Jiang Zhou
openaire   +2 more sources

Homogeneous Herz spaces with variable exponents and regularity results [PDF]

, 2018
In this paper we deal with the second order divergence form operators L with coefficients satisfying the vanishing mean oscillation property and we prove some regularity results for a solution to Lu = div f , where f belongs to homogeneous Herz spaces ...
Andrea, Scapellato
core   +4 more sources

The Weighted Grand Herz–Morrey–Lizorkin–Triebel Spaces with Variable Exponents

Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)
arXiv admin note: text overlap with arXiv:2502 ...
Wang, Shengrong, Guo, Pengfei, Xu, Jingshi   +2 more
openaire   +2 more sources