BMO鞅空间上极大算子与均方算子的有界性

BOUNDEDNESS OF MAXIMAL OPERATOR AND MEAN-SQUARE OPERATOR ON BMO MARTINGALE SPACES

本文证明了,q 均方算子在 X 值 BMO 鞅空间上是有界的当且仅当 X 同构于 q凸 Banach 空间。此外给出了极大算子与 q 均方算子的 BMO 范数,讨论了鞅空间(?)_q 与BMO_q 的相互包含关系并以此刻划了 Banach 空间的几何性质。

The result that the q-mean-square operator on X-valued BMO martin-gale spaces is bounded iff X is isomorphic to q-convex spaces be proved.The BMO norms of maximal operator and q-mean-squave operator on BMOmartingale spaces be obtained,and the relationships between (?)_p and BMO_pbe discussed.