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pro vyhledávání: '"Oberlin, Richard"'
We consider $r$-variation operators for the family of spherical means, with special emphasis on $L^p\to L^q$ estimates.
Comment: 51 pages, 11 figures. Revised version incorporating referee's suggestions. To appear in Mathematische Annalen
Comment: 51 pages, 11 figures. Revised version incorporating referee's suggestions. To appear in Mathematische Annalen
Externí odkaz:
http://arxiv.org/abs/2009.07366
Autor:
Oberlin, Richard
Publikováno v:
Can. Math. Bull. 62 (2019) 405-415
We use a variant of the technique in [Lac17a] to give sparse L^p(log(L))^4 bounds for a class of model singular and maximal Radon transforms
Comment: 11 pages
Comment: 11 pages
Externí odkaz:
http://arxiv.org/abs/1704.04297
Autor:
Oberlin, Daniel, Oberlin, Richard
For some self-similar sets K in d-dimensional Euclidean space we obtain certain lower bounds for the lower Minkowski dimension of K+E in terms of the lower Minkowski dimension of E.
Comment: 12 pages
Comment: 12 pages
Externí odkaz:
http://arxiv.org/abs/1506.06938
For any dynamical system, we show that higher variation-norms for the sequence of ergodic bilinear averages of two functions satisfy a large range of bilinear Lp estimates. It follows that, with probability one, the number of fluctuations along this
Externí odkaz:
http://arxiv.org/abs/1504.07134
Autor:
Oberlin, Richard
Publikováno v:
Mathematika 62 (2016) 738-752
We show that if a collection of lines in a vector space over a finite field has "dimension" at least 2(d-1) + beta, then its union has "dimension" at least d + beta. This is the sharp estimate of its type when no structural assumptions are placed on
Externí odkaz:
http://arxiv.org/abs/1412.5569
Autor:
Oberlin, Richard.
Thesis (Ph.D.)--University of Wisconsin--Madison, 2007.
eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (p. 81-85).
eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (p. 81-85).
Autor:
Oberlin, Daniel, Oberlin, Richard
We use mixed norm estimates for the spherical averaging operator to obtain some results concerning pinned distance sets.
Externí odkaz:
http://arxiv.org/abs/1411.0915
Autor:
Oberlin, Daniel, Oberlin, Richard
We use a restriction theorem for Fourier transforms of fractal measures to study projections onto families of planes in R^3 whose normal directions form nondegenerate curves.
Comment: arXiv admin note: text overlap with arXiv:1009.5366
Comment: arXiv admin note: text overlap with arXiv:1009.5366
Externí odkaz:
http://arxiv.org/abs/1307.5039
Autor:
Oberlin, Daniel, Oberlin, Richard
We study some discrete and continuous variants of the following problem of Erdos: given a finite subset P of R^2 or R^3, what is the maximum number of pairs (p_1,p_2) with p_1,p_2 in P and |p_1 -p_2 |=1?
Externí odkaz:
http://arxiv.org/abs/1209.6537
We prove variation-norm estimates for the Walsh model of the truncated bilinear Hilbert transform, extending related results of Lacey, Thiele, and Demeter. The proof uses analysis on the Walsh phase plane and two new ingredients: (i) a variational ex
Externí odkaz:
http://arxiv.org/abs/1203.5135