BECAS
ACCOMAZZO SCOTTI Natalia Celeste
artículos
Título:
A characterization of BMO in terms of endpoint bounds for commutators of singular integrals
Autor/es:
ACCOMAZZO, NATALIA
Revista:
ISRAEL JOURNAL OF MATHEMATICS
Editorial:
HEBREW UNIV MAGNES PRESS
Referencias:
Año: 2018 vol. 228 p. 787 - 800
ISSN:
0021-2172
Resumen:
We provide a characterization of BMO in terms of endpoint boundedness of commutators of singular integrals. In particular, in one dimension, we show that ‖b‖BMO≂B, where B is the best constant in the endpoint LlogL modular estimate for the commutator [H,b]. We provide a similar characterization of the space BMO in terms of endpoint boundedness of higher order commutators of the Hilbert transform. In higher dimension we give the corresponding characterization of BMO in terms of the first order commutators of the Riesz transforms. We also show that these characterizations can be given in terms of commutators of more general singular integral operators of convolution type.
