On bilinear Littlewood-Paley square functions
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Publication:5891144
DOI10.1090/S0002-9939-2012-11349-8zbMath1277.42006MaRDI QIDQ5891144
P. K. Ratnakumar, Saurabh Shrivastava
Publication date: 3 September 2013
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15) Multipliers in one variable harmonic analysis (42A45)
Related Items (3)
Certain multi(sub)linear square functions ⋮ Norm variation of ergodic averages with respect to two commuting transformations ⋮ A remark on bilinear Littlewood-Paley square functions
Cites Work
- Bilinear Littlewood-Paley for circle and transference
- Some remarks on bilinear Littlewood--Paley theory
- \(L^p\) estimates for non-smooth bilinear Littlewood-Paley square functions on \(\mathbb R\)
- \(L^p\) estimates on the bilinear Hilbert transform for \(2<p<\infty\)
- On Calderón's conjecture
- The bilinear maximal functions map into \(L^p\) for \(2/3 < p \leq 1\)
- Boundedness of smooth bilinear square functions and applications to some bilinear pseudo-differential operators
- A note on the bilinear Littlewood-Paley square function
- On bilinear Littlewood-Paley square functions
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