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Abstract
© 2017, Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag GmbH Germany. We prove a characterization of some Lp-Sobolev spaces involving the quadratic symmetrization of the Calderón commutator kernel, which is related to a square function with differences of difference quotients. An endpoint weak type estimate is established for functions in homogeneous Hardy–Sobolev spaces H˙α1. We also use a local version of this square function to characterize pointwise differentiability for functions in the Zygmund class.
Original language | English |
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Pages (from-to) | 905-940 |
Journal | Annali di Matematica Pura ed Applicata |
Volume | 197 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Jun 2018 |
Keywords
- Hardy space
- Sobolev space
- Square function
- Zygmund class
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Dive into the research topics of 'On square functions with independent increments and Sobolev spaces on the line'. Together they form a unique fingerprint.Projects
- 1 Finished
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Aspectos probabilísticos y geométricos de la teoría de funciones
Nicolau Nos, A., Gonzalez Llorente, J., Arroyo Garcia, A. R., Donaire Benito, J. J., Soler Gibert, O., González Fuentes, M. J., Levi, M., Limani, A. & Macia Medina, V. J.
Ministerio de Ciencia e Innovación (MICINN)
1/01/18 → 30/09/22
Project: Research Projects and Other Grants