Results 21 to 30 of about 147,239 (238)
Bilinear spherical maximal function [PDF]
Mathematical Research Letters, 2018 We obtain boundedness for the bilinear spherical maximal function in a range of exponents that includes the Banach triangle and a range of $L^p$ with $p<1$. We also obtain counterexamples that are asymptotically optimal with our positive results on certain indices as the dimension tends to infinity.
Barrionevo, J. A. +4 more
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Bounds for discrete multilinear spherical maximal functions [PDF]
Collectanea Mathematica, 2021 typo ...
Anderson, Theresa C. +1 more
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On Weak Super Ricci Flow through Neckpinch
Analysis and Geometry in Metric Spaces, 2021 In this article, we study the Ricci flow neckpinch in the context of metric measure spaces. We introduce the notion of a Ricci flow metric measure spacetime and of a weak (refined) super Ricci flow associated to convex cost functions (cost functions ...
Lakzian Sajjad, Munn Michael
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Sparse bounds for the discrete spherical maximal functions [PDF]
Pure and Applied Analysis, 2020 20 pages. A much stronger result in latest version.
Kesler, Robert +2 more
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Spherical Maximal Operators on Radial Functions [PDF]
Mathematische Nachrichten, 1997 AbstractLet Atf(x) denote the mean of f over a sphere of radius t and center x. We prove sharp estimates for the maximal function ME f(X) = supt∈E |Atf(x)| where E is a fixed set in IR+ and f is a radial function ∈ Lp(IRd). Let Pd = d/(d−1) (the critical exponent for Stein's maximal function). For the cases (i) p < pd, d ⩾ 2, and (ii) p = pd, d ⩽ 3,
Seeger, Andreas +2 more
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Injectable, macroporous scaffolds for delivery of therapeutic genes to the injured spinal cord
APL Bioengineering, 2021 Biomaterials are being developed as therapeutics for spinal cord injury (SCI) that can stabilize and bridge acute lesions and mediate the delivery of transgenes, providing a localized and sustained reservoir of regenerative factors.
Arshia Ehsanipour +8 more
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Multilinear spherical maximal function
Proceedings of the American Mathematical Society, 2021 In dimensions n ≥ 2 n\ge 2 we obtain L p 1 ( R n ) × ⋯ × L p m
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Maximal potentials, maximal singular integrals, and the spherical maximal function [PDF]
Proceedings of the American Mathematical Society, 2014 We introduce a notion of maximal potentials and we prove that they form bounded operators from $L^p$ to the homogeneous Sobolev space $\dot{W}^{1,p}$ for all $n/(n-1)
Hajłasz, Piotr, Liu, Zhuomin
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Lebesgue Space Estimates for Spherical Maximal Functions on Heisenberg Groups [PDF]
International Mathematics Research Notices, 2021 Abstract We prove $L^p\to L^q$ estimates for local maximal operators associated with dilates of codimension two spheres in Heisenberg groups; these are sharp up to two endpoints. The results can be applied to improve currently known bounds on sparse domination for global maximal operators.
Roos, Joris +2 more
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Maximal functions: Spherical means [PDF]
Proceedings of the National Academy of Sciences, 1976 Let [unk]( f )( x ) denote the supremum of the averages of f taken over all (surfaces of) spheres centered at x . Then f → [unk]( f ) is bounded on L p
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