Weighted norm inequality for a maximal operator on homogeneous space
| dc.creator | Fernandes, IAA | |
| dc.creator | Tozoni, SA | |
| dc.date | 2008 | |
| dc.date | 2014-11-18T11:48:36Z | |
| dc.date | 2015-11-26T17:49:59Z | |
| dc.date | 2014-11-18T11:48:36Z | |
| dc.date | 2015-11-26T17:49:59Z | |
| dc.date.accessioned | 2018-03-29T00:33:07Z | |
| dc.date.available | 2018-03-29T00:33:07Z | |
| dc.identifier | Zeitschrift Fur Analysis Und Ihre Anwendungen. Heldermann Verlag, v. 27, n. 1, n. 67, n. 78, 2008. | |
| dc.identifier | 0232-2064 | |
| dc.identifier | WOS:000254080700005 | |
| dc.identifier | http://www.repositorio.unicamp.br/jspui/handle/REPOSIP/72814 | |
| dc.identifier | http://www.repositorio.unicamp.br/handle/REPOSIP/72814 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/72814 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1289541 | |
| dc.description | Let X= G/H be a homogeneous space, (X) over tilde = X x [0, infinity), mu a doubling measure on X induced by a Haar measure on the group G, beta a positive measure on (X) over tilde and W a weight on X. Consider the maximal operator given by Mf(x,r) = sup(s >= r)1/mu(B(x,s))integral(B(x,s)) vertical bar f(y)vertical bar d mu(y), (x,r) is an element of (X) over tilde. this paper, we obtain, for each p, q, 1 < p <= q < infinity, a necessary and sufficient condition for the boundedness of the maximal operator M from L-p(X, Wd mu) to L-q((X) over tilde, d beta). As an application, we obtain a necessary and sufficient condition for the boundedness of the Poisson integral of functions defined on the unit sphere S-n of the Euclidian space Rn+1, from L-p(S-n, Wd sigma) to L-q (B, d nu), where sigma is the Lebesgue measure on S-n, W is a weight on S-n and nu is a positive measure on the unit ball B of Rn+1. | |
| dc.description | 27 | |
| dc.description | 1 | |
| dc.description | 67 | |
| dc.description | 78 | |
| dc.language | en | |
| dc.publisher | Heldermann Verlag | |
| dc.publisher | Lemgo | |
| dc.publisher | Alemanha | |
| dc.relation | Zeitschrift Fur Analysis Und Ihre Anwendungen | |
| dc.relation | Z. Anal. ihre. Anwend. | |
| dc.rights | fechado | |
| dc.source | Web of Science | |
| dc.subject | maximal function | |
| dc.subject | Poisson integral | |
| dc.subject | homogeneous space | |
| dc.subject | A(p)-weights | |
| dc.subject | sphere | |
| dc.title | Weighted norm inequality for a maximal operator on homogeneous space | |
| dc.type | Artículos de revistas |