Bingyang Hu

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20242026

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math.CA2026

Hardy space estimates for the parabolic maximal operator below $p = 1$

Yongsheng Han, Bingyang Hu

We study the parabolic maximal operator $M_{par}$ along the moment curve $(t, t^{2})$ . In 1988, Christ proved that $M_{par}$ maps the parabolic Hardy space $H_{\text…

math.CA2026

On the Bourgain--Brezis--Mironescu spaces over Carleson tents

Árpád Bényi, Bingyang Hu, Xiaojing Zhou

We introduce Carleson analogs of the Bourgain--Brezis--Mironescu spaces $B$ and $B_{0}$ by measuring mean oscillation over upper Carleson tents. For these spaces, denoted by $B_{\mat…

Hardy space estimates for the parabolic maximal operator below p=1

On the Bourgain--Brezis--Mironescu spaces over Carleson tents

Hardy space estimates for the parabolic maximal operator below $p = 1$