Results 101 to 110 of about 11,627 (244)

Introduction to Morrey spaces

open access: yes, 2023
The present informal set of notes covers the material that has been presented by the author in a series of lectures for the Doctoral School in Mathematics of the Southern Federal State University of Rostov-on-Don in the Fall of 2020 and that develops from the first part of the notes that collect the material of the lectures of the author at the ...
openaire   +2 more sources

Parabolic sublinear operators with rough kernel generated by parabolic calderön-zygmund operators and parabolic local campanato space estimates for their commutators on the parabolic generalized local morrey spaces

open access: yesOpen Mathematics, 2016
In this paper, the author introduces parabolic generalized local Morrey spaces and gets the boundedness of a large class of parabolic rough operators on them. The author also establishes the parabolic local Campanato space estimates for their commutators
Gurbuz Ferit
doaj   +1 more source

Necessary and sufficient conditions for the boundedness of the anisotropic Riesz potential in anisotropic modified Morrey spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
We prove that the anisotropic fractional maximal operator Mα,σ and the anisotropic Riesz potential operator Iα,σ, 0 < α < ∣σ∣ are bounded from the anisotropic modified Morrey space L̃1,b,σ(Rn) to the weak anisotropic modified Morrey space WL̃q,b,σ(Rn) if
Dzhabrailov Malik S.   +1 more
doaj   +1 more source

Local Good-λ Estimate for the Sharp Maximal Function and Weighted Morrey Space

open access: yesJournal of Function Spaces, 2015
We give a characterization of weighted Morrey space by using Fefferman and Stein’s sharp maximal function. For this purpose, we consider a local good-λ inequality.
Yasuo Komori-Furuya
doaj   +1 more source

Logarithmically Improved Blow up Criterion for Smooths Solution to the 3D Micropolar Fluid Equations

open access: yesJournal of Applied Mathematics, 2012
Blow-up criteria of smooth solutions for the 3D micropolar fluid equations are investigated. Logarithmically improved blow-up criteria are established in the Morrey-Campanto space.
Yin-Xia Wang, Hengjun Zhao
doaj   +1 more source

Hardy-Littlewood-Sobolev Theorem for Bourgain-Morrey Spaces and Approximation

open access: yesEuropean Journal of Mathematical Analysis
In this paper, we establish an extension of the Hardy-Littlewood-Sobolev theorem to the setting of the Bourgain-Morrey space Mαq,p(Rd) (1 ≤ q, p, α ≤ ∞), which theory goes back to Bourgain in 1991.
Nouffou Diarra
doaj   +1 more source

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