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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| Format: | Article |
| Language: | English |
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Hindawi Limited
2021-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2021/8810220 |
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doaj-0e18a72d73a1463da791a4b6465e43312021-06-07T02:13:03ZengHindawi LimitedAbstract and Applied Analysis1687-04092021-01-01202110.1155/2021/8810220Martingale Transforms between Martingale Hardy-amalgam SpacesJustice Sam Bansah0Department of MathematicsWe 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.http://dx.doi.org/10.1155/2021/8810220 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Justice Sam Bansah |
| spellingShingle |
Justice Sam Bansah Martingale Transforms between Martingale Hardy-amalgam Spaces Abstract and Applied Analysis |
| author_facet |
Justice Sam Bansah |
| author_sort |
Justice Sam Bansah |
| title |
Martingale Transforms between Martingale Hardy-amalgam Spaces |
| title_short |
Martingale Transforms between Martingale Hardy-amalgam Spaces |
| title_full |
Martingale Transforms between Martingale Hardy-amalgam Spaces |
| title_fullStr |
Martingale Transforms between Martingale Hardy-amalgam Spaces |
| title_full_unstemmed |
Martingale Transforms between Martingale Hardy-amalgam Spaces |
| title_sort |
martingale transforms between martingale hardy-amalgam spaces |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1687-0409 |
| publishDate |
2021-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/2021/8810220 |
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AT justicesambansah martingaletransformsbetweenmartingalehardyamalgamspaces |
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1721393188611031040 |