Global analytic and Gevrey surjectivity of the Mizohata operator $ D_2 + i x^{2k}_{2} D_{1} $

Cattabriga, Lamberto; Zanghirati, Luisa

Global analytic and Gevrey surjectivity of the Mizohata operator

D_{2} + i x_{2}^{2 k} D_{1}

Cattabriga, Lamberto ; Zanghirati, Luisa

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 1 (1990), p. 37-39 / Harvested from Biblioteca Digitale Italiana di Matematica

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Abstract
Résumé

The surjectivity of the operator $D_{2} + i x_{2}^{2 k} D_{1}$ from the Gevrey space $E^{\{s\}} (R^{2})$ , $s \geq 1$ , onto itself and its non-surjectivity from $E^{\{s\}} (R^{3})$ to $E^{\{s\}} (R^{3})$ is proved.

Si prova che l'operatore $D_{2} + i x_{2}^{2 k} D_{1}$ è suriettivo dallo spazio di Gevrey $E^{\{s\}} (R^{2})$ , $s \geq 1$ , su sé stesso e che ciò non accade per lo stesso operatore da $E^{\{s\}} (R^{3})$ ad $E^{\{s\}} (R^{3})$ .

Publié le : 1990-02-01

MR 1081824 | Zbl 0707.35036

@article{RLIN_1990_9_1_1_37_0,
     author = {Lamberto Cattabriga and Luisa Zanghirati},
     title = {Global analytic and Gevrey surjectivity of the Mizohata operator \( D\_2 + i x^{2k}\_{2} D\_{1} \)},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {1},
     year = {1990},
     pages = {37-39},
     zbl = {0707.35036},
     mrnumber = {1081824},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_1990_9_1_1_37_0}
}

Cattabriga, Lamberto; Zanghirati, Luisa. Global analytic and Gevrey surjectivity of the Mizohata operator \( D_2 + i x^{2k}_{2} D_{1} \). Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 1 (1990) pp. 37-39. http://gdmltest.u-ga.fr/item/RLIN_1990_9_1_1_37_0/

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