Characterizations of $H^{1}$ and applications to singular integrals

Stefanov, Atanas

Illinois J. Math., Tome 44 (2000) no. 4, p. 574-592 / Harvested from Project Euclid

Résumé

We give a necessary and sufficient condition for an integrable compactly supported function with mean value zero on the line to be in the Hardy space $H^{1}(\mathbf{R}^{1})$. As a corollary, we obtain a new characterization of $H^{1}(\mathbf{S}^{1})$ and $p$ independence of the spectrum of homogeneous Calderón-Zygmund operators.

Publié le : 2000-09-15
Classification: 42B20, 42B15, 42B30

@article{1256060417,
     author = {Stefanov, Atanas},
     title = {Characterizations of $H^{1}$ and applications to singular integrals},
     journal = {Illinois J. Math.},
     volume = {44},
     number = {4},
     year = {2000},
     pages = { 574-592},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1256060417}
}

Stefanov, Atanas. Characterizations of $H^{1}$ and applications to singular integrals. Illinois J. Math., Tome 44 (2000) no. 4, pp.  574-592. http://gdmltest.u-ga.fr/item/1256060417/