Hardy-Littlewood-Stein-Weiss type theorems for Riesz potentials and their commutators in Morrey spaces [PDF]
, 2023 In this paper, we consider weighted Morrey spaces Lp,λ,|·|γ (R). Finally we apply our results to various operators which are estimated from above by Riesz potentials.
AYKOL, Canay, HASANOV, Javanshir J.
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Sobolev spaces with non-isotropic dilations and square functions of Marcinkiewicz type [PDF]
, 2022 We consider the weighted Sobolev spaces associated with non-isotropic dilations of Calderón–Torchinsky and characterize the spaces by the square functions of Marcinkiewicz type including those defined with repeated uses of averaging operation.MSC ...
93532 +3 more
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Mean oscillation and boundedness of multilinear operator related to multiplier operator
Open Mathematics, 2021 In this paper, the boundedness of certain multilinear operator related to the multiplier operator from Lebesgue spaces to Orlicz spaces is obtained.
Zhao Qiaozhen, Huang Dejian
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Strengthened inequalities for the mean width and the ℓ‐norm
Journal of the London Mathematical Society, Volume 104, Issue 1, Page 233-268, July 2021., 2021 Abstract Barthe proved that the regular simplex maximizes the mean width of convex bodies whose John ellipsoid (maximal volume ellipsoid contained in the body) is the Euclidean unit ball; or equivalently, the regular simplex maximizes the ℓ‐norm of convex bodies whose Löwner ellipsoid (minimal volume ellipsoid containing the body) is the Euclidean unit
Károly J. Böröczky +2 more
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Commutators of multilinear strongly singular integrals on nonhomogeneous metric measure spaces
Open Mathematics, 2021 Let (X,d,μ)\left(X,d,\mu ) denote nonhomogeneous metric measure space satisfying geometrically doubling and the upper doubling measure conditions.
Wang Hailian, Xie Rulong
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From Hardy to Rellich inequalities on graphs
Proceedings of the London Mathematical Society, Volume 122, Issue 3, Page 458-477, March 2021., 2021 Abstract We show how to deduce Rellich inequalities from Hardy inequalities on infinite graphs. Specifically, the obtained Rellich inequality gives an upper bound on a function by the Laplacian of the function in terms of weighted norms. These weights involve the Hardy weight and a function which satisfies an eikonal inequality.
Matthias Keller +2 more
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Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this article, we define a kind of truncated maximal function on the Heisenberg space by Mγcfx=sup0
Xiang Li +2 more
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Weighted fractional Hardy operators and their commutators on generalized Morrey spaces over quasi-metric measure spaces [PDF]
, 2021 We study commutators of weighted fractional Hardy-type operators within the frameworks of local generalized Morrey spaces over quasi-metric measure spaces for a certain class of “radial” weights.
Samko, Natasha Gabatsuyevna
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Polynomial sequences in discrete nilpotent groups of step 2
Advanced Nonlinear Studies, 2023 We discuss some of our work on averages along polynomial sequences in nilpotent groups of step 2. Our main results include boundedness of associated maximal functions and singular integrals operators, an almost everywhere pointwise convergence theorem ...
Ionescu Alexandru D. +3 more
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Estimates for certain class of rough generalized Marcinkiewicz functions along submanifolds
Open Mathematics, 2023 We establish certain delicate Lp{L}^{p} bounds for a class of generalized Marcinkiewicz integral operators along submanifolds with rough kernels.
Ali Mohammed, Al-Qassem Hussain
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