Naslov
On a class of integral Hardy-type and geometric mean operators

Autori
Čižmešija, Aleksandra

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

Izvornik
Conference on Applied Mathematics and Scientific Computing - ApplMath03 / - , 2003

Skup
Conference on Applied Mathematics and Scientific Computing - ApplMath03

Mjesto i datum
Brijuni, Hrvatska, 23.06.2003. - 27.06.2003

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Hardy-type operator; geometric mean operator; Oinarov kernel; boundedness; cones

Sažetak
In this lecture we give criteria for boundedness of a general multidimensional Hardy-type integral operator with an Oinarov kernel and of the related limiting geometric mean operator between two Lebesgue spaces. The integrals are taken over cones in R^n with the origin as a vertex. We also give two-sided estimates, that is, lower and upper bounds for the L^p_v --> L^q_u norms of these operators for all p and q satisfying 1 < p < infty, 0 < q < infty for the Hardy-type operator case, and 0 < p, q < infty for the geometric mean operator case.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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