Pointwise multiplication of Lizorkin-Triebel and Besov spaces
数学专题报告
报告题目(Title):Pointwise multiplication of Lizorkin-Triebel and Besov spaces
报告人(Speaker):Winfried Sickel 教授 (Friedrich-Schiller-University, Germany)
地点(Place):后主楼1124
时间(Time):2025年10月12日 (周日)16:00至17:00
邀请人(Inviter):杨大春
报告摘要
Let 0\leq p, p_1, p_2\leq infty ,0\leqq, q_1, q_2\leq \infty and s, s_1, s_2\in R .In my talk I will discuss some sufficient and some necessary conditions for the validity of the inequality \|f\cdot g\|_{A^s_{p,q}(R^d)}\le C \|f\|_{A^{s_1}_{p_1,q_1}(R^d)} \|g\|_{A^{s_2}_{p_2,q_2}(R^d)}, where f\in A^{s_1}_{p_1,q_1}(R^d) and g\in A^{s_2}_{p_2,q_2} (R^d). Afterwards, as an application, we will discuss characterizations of multiplier spaces for pairs M(F^{s_2}_{p_2,q_2}(R^d), F^s_{p,q}(R^d)).