info:eu-repo/semantics/article
Certain fractional type operators with hörmander conditions
Fecha
2018-09Registro en:
Ibañez Firnkorn, Gonzalo Hugo; Riveros, Maria Silvina; Certain fractional type operators with hörmander conditions; Suomalainen Tiedeakatemia; Annales Academiae Scientiarum Fennicae. Mathematica; 43; 9-2018; 913-929
1239-629X
1798-2383
CONICET Digital
CONICET
Autor
Ibañez Firnkorn, Gonzalo Hugo
Riveros, Maria Silvina
Resumen
In this paper we study fractional type operators with more than one kernel, defined
by Tα,mf(x) = ˆRn k1(x − A1y)k2(x − A2y). . . km(x − Amy)f(y) dy, where, for 1 ≤ i ≤ m, each ki satisfies a fractional size condition and generalized fractional Hörmander condition, and Ai are invertibles matrices. We obtain weighted Coifman type estimates, strong and weak type inequalities and BMO estimates for this operator. We also present some examples different from those in the literature.