Naslov
Improving estimates for discrete polynomial averaging operators

Autori
Kovač, Vjekoslav

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni

Skup
2nd Zagreb Workshop on Operator Theory

Mjesto i datum
Zagreb, Hrvatska, 29.06.2020. - 30.06.2020

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
improving estimate, discrete average, polynomial

Sažetak
It as a well-known property of all averaging-type operators that their operator norms are at most $1$, simply as a consequence of the triangle inequality. In general, constant 1 cannot be improved, even when one considers various $L^p\to L^q$ estimates for $p\neq q$. However, certain averaging operators allow a significant improvement of this constant, which finds applications to various problems in the harmonic analysis. Here we study averaging operators in a discrete polynomial setting, and prove sharp improving $l^p\to l^q$ estimates in a close-to-optimal range of exponents (p, q). This is joint work with R. Han, M. T. Lacey, F. Yang (Georgia Institute of Technology), and J. Madrid (University of California, Los Angeles).

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA