A remark on non-local operators with variable order

Uemura, Toshihiro

Osaka J. Math., Tome 46 (2009) no. 1, p. 503-514 / Harvested from Project Euclid

Résumé

We reveal a relationship between the non-local operator $\mathcal{L}$ with variable order having $n$ as a Lévy-type kernel and the symmetric quadratic form defined by the kernel $n$. The relationship is obtained through the carré du champ operator relative to $\mathcal{L}$.

Publié le : 2009-06-15
Classification: 45P05, 31C25, 60J25

@article{1245415681,
     author = {Uemura, Toshihiro},
     title = {A remark on non-local operators with variable order},
     journal = {Osaka J. Math.},
     volume = {46},
     number = {1},
     year = {2009},
     pages = { 503-514},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1245415681}
}

Uemura, Toshihiro. A remark on non-local operators with variable order. Osaka J. Math., Tome 46 (2009) no. 1, pp.  503-514. http://gdmltest.u-ga.fr/item/1245415681/