Results 81 to 90 of about 1,132,104 (199)

Morrey Spaces for Nonhomogeneous Metric Measure Spaces [PDF]

Abstract and Applied Analysis, 2013
The authors give a definition of Morrey spaces for nonhomogeneous metric measure spaces and investigate the boundedness of some classical operators including maximal operator, fractional integral operator, and Marcinkiewicz integral operators.
Yonghui, Cao, Jiang, Zhou
openaire   +3 more sources

Boundedness of Hardy‐Type Operators on Grand Weighted Herz–Morrey Spaces

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this paper, we establish the boundedness of the higher‐dimensional Hardy operator and its adjoint operator on grand weighted Herz–Morrey spaces. As corollaries, we also obtain their boundedness on grand weighted Herz spaces.
Xiaoxi Xia, Abuduwali Abudukeremu, Maria Alessandra Ragusa   +2 more
wiley   +1 more source

Wijsman Statistical, Strong Cesàro, and Ideal Convergence of Closed Sets in Idempotent Bicomplex Metric Spaces

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper studies generalized Wijsman convergence for sequences of nonempty closed subsets of an idempotent bicomplex metric space. Let ρ = d1e1 + d2e2, where d1 and d2 are metrics on the same underlying set X. For a nonempty subset A of X, we define the bicomplex point‐to‐set distance by ρ(x, A) = d1(x, A)e1 + d2(x, A)e2.
Ameni Gargouri, Mehmet Gürdal, Ömer Kişi, Abdelwaheb Mhemdi, Maria Alessandra Ragusa   +4 more
wiley   +1 more source

Morrey spaces, weak Morrey spaces and composition operator

Gulf Journal of Mathematics
In a self-contained presentation, we discuss the Morrey and weak-Morrey spaces. Boundedness and compactness of the composition operator defined on these spaces are also studied.
Rene Erlin Castillo, Hector Camilo Chaparro, Babar Sultan   +2 more
openaire   +1 more source

Boundedness of Integral Operators With Kernels From the Class On±ν,μ, n ≥ 0, in Lebesgue Spaces With Measures

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In recent years, weighted inequalities for quasilinear integral operators with iterative structures have been extensively studied. The analysis reduces these inequalities to the study of Volterra operators with increasingly complex kernels and measures. This paper introduces a broader class of kernels, extending existing conditions.
Ryskul Oinarov, Saltanat Shalginbayeva, Wenwu Gao   +2 more
wiley   +1 more source

Global well-posedness for 3D generalized magnetohydrodynamic equations in critical Fourier-Triebel-Lizorkin-Morrey spaces

Electronic Journal of Differential Equations
This article studies the Cauchy problem of the 3D generalized incompressible magnetohydrodynamic equations in critical Fourier-Triebel-Lizorkin-Morrey spaces.
Teng Ma, Lihui Guo
doaj   +3 more sources

Grand Triebel-Lizorkin-Morrey spaces

Demonstratio Mathematica
This article studies the Triebel-Lizorkin-type spaces built on grand Morrey spaces on Euclidean spaces. We establish a number of characterizations on the grand Triebel-Lizorkin-Morrey spaces such as the Peetre maximal function characterizations, the ...
Ho Kwok-Pun
doaj   +1 more source

Hardy–Hilbert Inequalities in Weighted Morrey Spaces: Commutators and Applications to Fractional PDEs on Bounded Domains for Financial Analysis

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we develop Hardy–Hilbert‐type integral estimates in weighted Morrey spaces on bounded domains and study the associated commutators with BMO symbols. The analysis is positioned relative to existing weighted Morrey estimates for fractional and rough operators, and the hypotheses needed for the fractional‐integral reduction are stated ...
Philip Ajibola Bankole, Mohsin Nasir, Sina Etemad, Smritijit Sen   +3 more
wiley   +1 more source

Boundedness of a Class of Oscillatory Singular Integral Operators and Their Commutators with Rough Kernel on Weighted Central Morrey Spaces

Mathematics, 2020
In this paper, we establish the boundedness of a class of oscillatory singular integral operators with rough kernel on central Morrey spaces. Moreover, the boundedness for each of their commutators on weighted central Morrey spaces was also obtained.
Yongliang Zhou, Dunyan Yan, Mingquan Wei
doaj   +1 more source

Global Solvability of the Generalized Navier−Stokes System in Critical Besov Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper is devoted to the global solvability of the Navier−Stokes system with a fractional Laplacian (−Δ)α in Rn for n ≥ 2, where the convective term has the form (|u|m−1u)·∇u for m ≥ 1. By establishing the estimates for the difference u1m−1u1−u2m−1u2 in homogeneous Besov spaces and employing the maximal regularity property of (−Δ)α in Lorentz−Besov
Huiyang Zhang, Shiwei Cao, Qinghua Zhang, Dengfeng Lu   +3 more
wiley   +1 more source