Articles

THE HARDY TYPE INEQUALITY FOR THE MAXIMAL OPERATOR OF THE ONE-DIMENSIONAL DYADIC DERIVATIVE

  • Ushangi Goginava
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  • Institute of Mathematics, Faculty of Exact and Natural Sciences, Tbilisi State University, Chavchavadze Str. 1, Tbilisi 0128, Georgia

Received date: 2009-04-02

  Revised date: 2010-05-21

  Online published: 2011-07-20

Abstract

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.

Cite this article

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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