鞅极大算子的加权弱型不等式(英文)

WEIGHTED WEAK TYPE INEQUALITIES FOR MARTINGALE MAXIMAL OPERATOR

本文研究了极大算子M满足一类弱型不等式时权函数应具备的条件.利用极大算子的弱(1,1)不等式和Young不等式,证明了权函数对(u,v)此时为AΦ,Ψ权,推广了Ap,p权的理论.

In this paper, we research conditions on weights such that the maximal operator M satisfies a kind of weak type inequalities. By use of weak （1,1） inequality of M and Young＇s inequality, we prove the （u,v） are AФ,ψ weights, which is an extension of Ap,p weights.