论文标题
R和L类的一般重申定理：右R空间的情况和左L空间的情况
General Reiteration Theorems for R and L Classes: Case of Right R-Spaces and Left L-Spaces
论文作者
论文摘要
Given $E_0, E_1, E, F$ rearrangement invariant spaces, $a, b, b_0, b_1$ slowly varying functions and $0\leq θ_0<θ_1\leq 1$, we characterize the interpolation space $$(\overline{X}_{θ_0,b_0,E_0}, \ edline {x}^{\ Mathcal r} _ {θ_1，b_1，e_1，a，a，a，a，f}）_ {θ，b，e} \ quad \ text \ text {和} \ edline {x} _ {θ_1，b_1，e_1}）_ {θ，b，e}，$$，对于所有可能的$θ\ in [0,1] $的所有可能值。给出了插值身份的申请，用于大型和小型Lebesgue空间，伽马空间以及$ A $和$ b $ type的空间。
Given $E_0, E_1, E, F$ rearrangement invariant spaces, $a, b, b_0, b_1$ slowly varying functions and $0\leq θ_0<θ_1\leq 1$, we characterize the interpolation space $$(\overline{X}_{θ_0,b_0,E_0}, \overline{X}^{\mathcal R}_{θ_1, b_1,E_1,a,F})_{θ,b,E} \quad \text{and} \quad (\overline{X}^{\mathcal L}_{θ_0, b_0,E_0,a,F}, \overline{X}_{θ_1,b_1,E_1})_{θ,b,E},$$ for all possible values of $θ\in[0,1]$. Applications to interpolation identities for grand and small Lebesgue spaces, Gamma spaces and $A$ and $B$-type spaces are given.
