Shuanglin Shao

collaborators

2 papers

math.AP2026

On smoothness of extremizers of the Tomas-Stein inequality for $S^{1}$

Shuanglin Shao, Ming Wang

We prove that the extremizers to the Tomas-Stein inequality for the one dimension sphere are smooth. This is achieved by studying the associated Euler-Lagrange equation.

math.CA2026

Conditional existence of maximizers for the Tomas-Stein inequality for the sphere

Shuanglin Shao, Ming Wang

The Tomas-Stein inequality for a compact subset $I^$ of the sphere $S^{d}$ states that the mapping $f \mapsto f I ¨ $ is bounded from $L^{2} (I^, I ¨ )$ to $L^{2 + 4/ d} (R^{d + 1})$ . The…

On smoothness of extremizers of the Tomas-Stein inequality for S1

Conditional existence of maximizers for the Tomas-Stein inequality for the sphere

On smoothness of extremizers of the Tomas-Stein inequality for $S^{1}$