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Systems of Singular Integral Operators on Spheres [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1969
Daniel A. Levine
openalex   +3 more sources

Multilinear rough singular integral operators [PDF]

open access: yesJournal of the London Mathematical Society, 2022
We study m$m$ ‐linear homogeneous rough singular integral operators LΩ$\mathcal {L}_{\Omega }$ associated with integrable functions Ω$\Omega$ on Smn−1$\mathbb {S}^{mn-1}$ with mean value zero. We prove boundedness for LΩ$\mathcal {L}_{\Omega }$ from Lp1×⋯
L. Grafakos   +3 more
semanticscholar   +1 more source

A characterization for $B$-singular integral operator and its commutators on generalized weighted $B$-Morrey spaces

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2023
We study the maximal operator $M_{\gamma}$ and the singular integral operator $A_{\gamma}$, associated with the generalized shift operator. The generalized shift operators are associated with the Laplace-Bessel differential operator.
J.J. Hasanov, I. Ekincioglu, C. Keskin
doaj   +1 more source

Boundedness of p-Adic Singular Integrals and Multilinear Commutator on Morrey-Herz Spaces

open access: yesJournal of Function Spaces, 2023
In this paper, we establish the boundedness of classical p-adic singular integrals on Morrey-Herz spaces, as well as the boundedness of multilinear commutator generated by p-adic singular integral operators and Lipschitz functions or by p-adic singular ...
Yanlong Shi, Li Li, Zhonghua Shen
doaj   +1 more source

Multilinear strongly singular integral operators on non-homogeneous metric measure spaces

open access: yesJournal of Inequalities and Applications, 2022
Let ( X , d , μ ) $(X,d,\mu )$ be a non-homogeneous metric measure space satisfying the geometrically and upper doubling measure conditions. In this paper, the boundedness in Lebesgue spaces for multilinear strongly singular integral operators on non ...
Hailian Wang, Rulong Xie
doaj   +1 more source

Endpoint estimates for multilinear fractional singular integral operators on Herz and Herz type Hardy spaces

open access: yesAIMS Mathematics, 2021
The boundedness of singular and fractional integral operator on Lebesgue and Hardy spaces have been well studied. The theory of Herz space and Herz type Hardy space, as a local version of Lebesgue and Hardy space, have been developed. The main purpose of
Dazhao Chen
doaj   +1 more source

Definability of singular integral operators on Morrey–Banach spaces

open access: yes, 2020
We give a definition of singular integral operators on MorreyBanach spaces which include Orlicz-Morrey spaces and Morrey spaces with variable exponents.
K. Ho
semanticscholar   +1 more source

FREDHOLM PROPERTY OF COMPOSITE TWO-DIMENSIONAL INTEGRAL OPERATORS WITH HOMOGENEOUS SINGULAR-TYPE KERNELS IN pL SPACE

open access: yesAdvanced Engineering Research, 2014
The authors have previously studied two - dimensional Fredholm integral operators with homogeneous kernels of fiber - singular type. For this class of operators, the symbolic calculus is built using the theory of biloc al operators by V.
Vladimir Mikhaylovich Deundyak   +1 more
doaj   +1 more source

Endpoint boundedness for commutators of singular integral operators on weighted generalized Morrey spaces

open access: yesJournal of Inequalities and Applications, 2020
In this paper, we obtain the endpoint boundedness for the commutators of singular integral operators with BMO functions and the associated maximal operators on weighted generalized Morrey spaces.
Jinyun Qi, Xuefang Yan, Wenming Li
doaj   +1 more source

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