Martingale Transforms between Martingale Hardy-amalgam Spaces

We discuss martingale transforms between martingale Hardy-amalgam spaces Hp,qs,Qp,q and Pp,q. Let 0<p<q<∞,p1<p and q1<q and let f=fn,n∈ℕ be a martingale in Pp1,q1; then, we show that its martingale transforms are the martingales in Pp,q for some p,q and similarly for Hp,qs and Qp,q....

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Bibliographic Details
Main Author: Justice Sam Bansah
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2021/8810220