Naslov
Mixed means over balls and annuli and lower bounds for operator norms of maximal functions

Autori
Čižmešija, Aleksandra

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Function Spaces, Differential Operators and Nonlinear Analysis FSDONA 2004 / - Plzeň : Zapadnočeska Univerzita v Plzni, 2004

Skup
Function Spaces, Differential Operators and Nonlinear Analysis FSDONA 2004

Mjesto i datum
Svratka, Češka Republika, 27.05.2004. - 02.06.2004

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
mixed means; integral means; balls and annuli; potential weights; Hardy's inequality; Hardy-Littlewood maximal function; spherical maximal function

Sažetak
We prove mixed-means inequalities for integral means of arbitrary real order, where one of the means is taken over the ball in R^n centered at x and of radius delta*x, delta>0. From this result we deduce the operator norm of the operator S_delta which averages a function |f| from L^p(R^n) over the same balls, introduced by M. Christ and L. Grafakos (Hardy type inequality). We also obtain the operator norm of the related geometric mean operator (Carleman type inequality). Moreover, we indicate analogous results for annuli and discuss estimations related to Hardy-Littlewood and spherical maximal functions.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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