The Bilinear Hardy-Littlewood Maximal Function and Littlewood-Paley Square Function on Weighted Variable Exponent Wiener Amalgam Space

Year 2019, Volume: 16 Issue: 1, 63 - 80, 31.05.2019

Öznur Kulak

Abstract

The space
“weighted variable exponent Wiener amalgam” 
whose local component is “variable exponent Lorentz space” is
considered. Then boundedness of the “bilinear Hardy-Littlewood maximal
function” and “Littlewood-Paley square function” is discussed on this space.

Keywords

The bilinear Hardy-Littlewood maximal function, the bilinear Littlewood-Paley Square function

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