A New Approach to (1,1)-Weak-type Estimate for the Littlewood-Paley Operators Sα, and g*λ,

Abstract

In this study, (1,1)-weak type boundedness of square function Sα, is obtained by using Nazarov-Treil and Volberg technique. Also using this result, the (1,1)- weak type boundedness of g*λ, operator is investigated.

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