Vertical versus conical square functions
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Publication:2841408
DOI10.1090/S0002-9947-2012-05668-6zbMath1275.42028arXiv1012.4184OpenAlexW2028353428MaRDI QIDQ2841408
Pascal Auscher, Steven Hofmann, José Maria Martell
Publication date: 25 July 2013
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1012.4184
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Cites Work
- Unnamed Item
- Unnamed Item
- Weights, extrapolation and the theory of Rubio de Francia.
- Bilinear embedding for real elliptic differential operators in divergence form with potentials
- Area integral estimates for elliptic differential operators with non- smooth coefficients
- Extensions of Rubio de Francia extrapolation theorem
- Weighted norm inequalities, off-diagonal estimates and elliptic operators. I: General operator theory and weights
- Use of Hardy spaces and interpolation
- New abstract Hardy spaces
- An irregular complex valued solution to a scalar uniformly elliptic equation
- Use of abstract Hardy spaces, real interpolation and applications to bilinear operators
- Hardy and BMO spaces associated to divergence form elliptic operators
- Some new function spaces and their applications to harmonic analysis.
- The Dirichlet problem in non-smooth domains
- A vector-valued approach to tent spaces
- The solution of the Kato square root problem for second order elliptic operators on \(\mathbb R^n\).
- \(H^p\) spaces of several variables
- Factorization Theory and A P Weights
- An Extrapolation Theorem in the Theory of A p Weights
- On necessary and sufficient conditions for 𝐿^{𝑝}-estimates of Riesz transforms associated to elliptic operators on ℝⁿ and related estimates
- On square functions associated to sectorial operators
- Second order elliptic operators with complex bounded measurable coefficients in $L^p$, Sobolev and Hardy spaces
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