Title :
Maximal operator of dyadic derivative on Vilenkin Group
Author :
Zhang, Xueying ; Zhang, Chuanzhou
Author_Institution :
Coll. of Sci., Wuhan Univ. of Sci. & Technol., Wuhan, China
Abstract :
In [1], the boundeness of one dimensional maximal operator of dyadic derivative is discussed. Unfortunately, the proof is uncorrect. In this paper, we consider the maximal operator of dyadic derivative on Vilenin group. With the help of counter-example we prove that the maximal operator is not bounded from the Hardy space Hq to the Hardy space Hq for 0 <; q ≤ 1.
Keywords :
differentiation; Hardy space; Vilenin group; Vilenkin group; dyadic derivative; one dimensional maximal operator; Electronic mail; Fourier series; Information science; Kernel; Laboratories; Manganese; Topology;
Conference_Titel :
Information Science and Technology (ICIST), 2011 International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-9440-8
DOI :
10.1109/ICIST.2011.5765206
