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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.02970 |
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| _version_ | 1866929234378752000 |
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| author | Ghorbanalizadeh, Arash Nia, Monire Mikaeili |
| author_facet | Ghorbanalizadeh, Arash Nia, Monire Mikaeili |
| contents | In this study, $(1,1)-$weak type boundedness of square function $S_{α,ψ}$ is obtained by using Nazarov-Treil and Volberg technique. Also using this result, the $(1,1)-$ weak type boundedness of $g^{*}_{λ,ψ}$ operator is investigated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_02970 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A New Approach to $(1,1)-$Weak-type Estimate for the Littlewood-Paley Operators $S_{α,ψ}$ and $g^{*}_{λ,ψ}$ Ghorbanalizadeh, Arash Nia, Monire Mikaeili Classical Analysis and ODEs 42B25 In this study, $(1,1)-$weak type boundedness of square function $S_{α,ψ}$ is obtained by using Nazarov-Treil and Volberg technique. Also using this result, the $(1,1)-$ weak type boundedness of $g^{*}_{λ,ψ}$ operator is investigated. |
| title | A New Approach to $(1,1)-$Weak-type Estimate for the Littlewood-Paley Operators $S_{α,ψ}$ and $g^{*}_{λ,ψ}$ |
| topic | Classical Analysis and ODEs 42B25 |
| url | https://arxiv.org/abs/2402.02970 |