Year: 2021
Type: article
Abstract: We provide the sharp bound for a fractional type operator given by a kernel satisfying the L α,s -Hörmander condition and certain fractional size condition, 0 < α < n and 1 < s ≤ ∞.In order to prove this result we use a new appropriate sparse domination.Examples of these operators include the fractional rough operators.For the case s = ∞ we recover the sharp bound of the fractional integral, Iα, proved by Lacey et al. [J.Functional Anal.259 (2010), no. 5, 1073-1097].
DOI: 10.33044/revuma.2211
Language: Spanish
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4308337325