Estimates for some kakeya-typemaximal operators
dc.contributor.author | Barrionuevo, Jose Afonso | pt_BR |
dc.date.accessioned | 2011-01-22T05:59:11Z | pt_BR |
dc.date.issued | 1993 | pt_BR |
dc.identifier.issn | 0002-9947 | pt_BR |
dc.identifier.uri | http://hdl.handle.net/10183/27479 | pt_BR |
dc.description.abstract | We use an abstract version of a theorem of Kolmogorov-Seliverstov- Paley to obtain sharp L2 estimates for maximal operators of the form: µβ(f(x) = sup –χєsєβ 1/|S| ∫S |f(x - y)| dy. We consider the cases where β is the class of all rectangles in Rn congru- ent to some dilate of [0, 1]n-l x [0, N-1]; the class congruent to dilates of [0, N-1]n-l x [0, 1]; and, in R2, the class of all rectangles with longest side parallel to a particular countable set of directions that include the lacunary and the uniformly distributed cases. | en |
dc.format.mimetype | application/pdf | pt_BR |
dc.language.iso | eng | pt_BR |
dc.relation.ispartof | Transactions of the American Mathematical Society. Providence. Vol. 335, no. 2 (feb. 1993), p. 667-682. | pt_BR |
dc.rights | Open Access | en |
dc.subject | Operador maximal | pt_BR |
dc.title | Estimates for some kakeya-typemaximal operators | pt_BR |
dc.type | Artigo de periódico | pt_BR |
dc.identifier.nrb | 000729960 | pt_BR |
dc.type.origin | Estrangeiro | pt_BR |
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