CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
CERTAIN FRACTIONAL TYPE OPERATORS WITH HÖRMANDER CONDITIONS
Autor/es:
RIVEROS, MARIA SILVINA; IBAÑEZ FIRNKORN, GONZALO H.
Revista:
ANNALES ACADEMIAE SCIENTIARUM FENNICAE. MATHEMATICA
Editorial:
SUOMALAINEN TIEDEAKATEMIA
Referencias:
Lugar: Helsinki; Año: 2018 vol. 43 p. 913 - 929
ISSN:
1239-629X
Resumen:
In this paper we study fractional type operators with more than onekernel, defined byTα,mf(x)= ∫Rk1(x ? A1y)k2(x ? A2y) ··· km(x ? Amy)f(y) dy,where, for 1 ≤ i ≤ m, each ki satisfies a fractional size condition andgeneralized fractional Hörmander condition, and Ai areinvertibles matrices. We obtain weighted Coifman type estimates,strong and weak type inequalities and BMO estimates for thisoperator. We also present some examples different from those in theliterature.
