在矩控制下B-值随机Dirichlet级数的(p,q)(R)级和(p,q)(R)型

(p,q)(R) Order and(p,q)(R) Type of B-Valued Random Dirichlet Series under the Condition of Moment

该文研究了在条件:0≤d2σ2n=d2E‖Zn‖2≤E2‖Zn‖<+∞下,在全平面上收敛的B-值随∞机Dirichlet级数的(p,q)(R)级和(p,q)(R)型,证明了B-值随机Dirichlet级数∑n=0Zn(ω)e-λnsa.s.与级数∑∞σne-λns具有相同的(p,q)(R)级和(p,q)(R)型.

It is studied that the （p, q ）（ R ） order and （p, q ）（ R ） type of B - valued random Dirichlet series converging on the whole plane are almost surely the same as that of {^∞∑（n=0）}^～σn（e^-λ）（n^s） series under the condition that of 0≤（d^2）（σ^2）n=d^2 E｜｜Zn｜｜^2≤E^2｜｜Zn｜｜〈＋∞.