4 papers
On the Bourgain--Brezis--Mironescu spaces over Carleson tents
Ãrpád Bényi, Bingyang Hu, Xiaojing Zhou
We introduce Carleson analogs of the Bourgain--Brezis--Mironescu spaces and by measuring mean oscillation over upper Carleson tents. For these spaces, denoted by $B_{\mat…
The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case
Ãrpád Bényi, Bingyang Hu, Victor Lie
In this paper, we provide the maximal boundedness range (up to end-points) for the Bilinear Hilbert-Carleson operator along curves in the (purely) non-zero curvature setting. More…
Compact theorem à la Stein
Ãrpád Bényi, Guopeng Li, Tadahiro Oh +1
We prove a compact theorem, involving quantitative estimates, analogous to the quantitative classical theorem due to Stein. We also discuss the -to-…
Fractional Leibniz rule on the torus
Ãrpád Bényi, Tadahiro Oh, Tengfei Zhao
We discuss the fractional Leibniz rule for periodic functions on the -dimensional torus, including the endpoint cases. As an application, we present a product estimate, involvin…