BOUNDEDNESS OF DYADIC DERIVATIVE AND CESARO MEAN OPERATOR ON SOME B-VALUED MARTINGALE SPACES

作者：Chen Lihong^*; Liu Peide

来源：Acta Mathematica Scientia, 2011, 31(1): 268-280.

• B-valued martingale
• martingale space
• dyadic derivative
• dyadic integral

In this article, it is proved that the maximal operator of one-dimensional dyadic derivative of dyadic integral I* and Cesaro mean operator sigma* are bounded from the B-valued martingale Hardy spaces (p)Sigma(alpha), D(alpha), (p)L(alpha), (p)(H) over tilde (alpha), (p)K(r) to L(alpha) (0 < alpha < infinity), respectively. The facts show that it depends on the geometrical properties of the Banach space.

• 出版日期2011-1
• 单位武汉纺织大学