Sparse bilinear forms for Bochner Riesz multipliers and applications

By C. Benea, Frédéric Bernicot, T. Luque. 2016

50 citations recorded by the source corpus.

We use the very recent approach developed by Lacey in [An elementary proof of the A2 Bound, Israel J. Math., to appear] and extended by Bernicot, Frey and Petermichl in [Sharp weighted norm estimates beyond Calderón‐Zygmund theory, Anal. PDE 9 (2016) 1079–1113], in order to control Bochner–Riesz operators by a sparse bilinear form. In this way, new quantitative weighted estimates, as well as vector‐valued inequalities are deduced.

Subfields: Applied Mathematics, Finance

View Paper: https://www.semanticscholar.org/paper/1549b981ed1a19b65e756944c8127a74d5a966be

Citations in the corpus

• Extrapolation for multilinear compact operators and applications (2020, unknown): “From [2], we see that for n = 2 and α > 1 6 , B is bounded on L(w), ∀p ∈ [1.”
• A sparse domination principle for rough singular integrals (2016, unknown): “The article [1] contains sparse domination estimates and weighted inequalities for the supercritical regime 0 < δ ′ < δ which are not informative in the critical case.”