Naslov
Trilinear embedding for divergence-form operators

Autori
Kovač, Vjekoslav

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

Izvornik
Tenth Conference on Applied Mathematics and Scientific Computing - ApplMath20 - book of abstracts / - , 2020

Skup
Enth Conference on Applied Mathematics and Scientific Computing - ApplMath20

Mjesto i datum
Brijuni, Hrvatska, 14.09.2020. - 18.09.2020

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
semigroup ; paraproduct

Sažetak
We give sufficient conditions that guarantee an $L^p(\Omega)\times L^q(\Omega)\times L^r(\Omega)\rightarrow L^1(\Omega\times (0, \infty))$ embedding for a triple of divergence-form elliptic operators with complex coefficients, and with Dirichlet, Neumann, or mixed boundary conditions on $\Omega$. Conditions on the exponents and coefficient matrices are expressed in terms of the so-called p-ellipticity, introduced previously by the first two authors. The proof relies on a particular Bellman function, found previously by the last two authors. We also present applications of the main result to paraproducts and conical square functions associated with the corresponding operator semigroups. This is joint work with Andrea Carbonaro, Oliver Dragičević, and Kristina Ana Škreb.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA