Acta mathematica scientia, Series B >
THE HARDY TYPE INEQUALITY FOR THE MAXIMAL OPERATOR OF THE ONE-DIMENSIONAL DYADIC DERIVATIVE
Received date: 2009-04-02
Revised date: 2010-05-21
Online published: 2011-07-20
In this paper we prove that the maximal operator I* of dyadic derivative is not bounded from the Hardy space Hp [0, 1] to the Hardy space Hp [0, 1], when 0 < p 1.
Key words: Walsh function; Hardy space; dyadic derivative
Ushangi Goginava . THE HARDY TYPE INEQUALITY FOR THE MAXIMAL OPERATOR OF THE ONE-DIMENSIONAL DYADIC DERIVATIVE[J]. Acta mathematica scientia, Series B, 2011 , 31(4) : 1489 -1493 . DOI: 10.1016/S0252-9602(11)60334-2
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