紧对称空间上的球面乘子转移
Transferring spherical multipliers on compact symmetric spaces
摘要：
证明了紧致对称空间$U/K$上的$L^{p}$球面乘子与向量空间$i\mathfrak{p},$上的$L^{p}$乘子之间的双边转移定理，其中$U$的李代数具有Cartan分解$\mathfrak{k\oplus }i\mathfrak{p}$ .推广了deLeeuw关于$% L^{p}(\mathbb{T)}$和$L^{p}(\mathbb{R)}$上乘子的经典定理转移定理.
英文摘要：
We prove a two-sided transference theorem between $L^{p}$ spherical multipliers on the compact symmetric space $U/K$ and $L^{p}$ multipliers on the vector space $i\mathfrak{p},$ where the Lie algebra of $U$ has Cartan decomposition $\mathfrak{k\oplus }i\mathfrak{p}$. This generalizes the classic theorem transference theorem of deLeeuw relating multipliers on $% L^{p}(\mathbb{T)}$ and $L^{p}(\mathbb{R)}$.
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