Naslov
Weighted integral inequalities for Hardy and geometric mean operators with kernels over cones in R^n

Autori
Čižmešija, Aleksandra ; Persson, Lars-Erik ; Wedestig, Anna

Izvornik
Italian Journal of Pure and Applied Mathematics (1126-8042) 18 (2005); 89-118

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
integral inequalities; weights; Hardy-type operator; geometric mean operator; kernel; Oinarov condition; cones

Sažetak
In this paper we prove 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 obtain 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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