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

Este item está licenciado na Creative Commons License