INMABB 05456
INSTITUTO DE MATEMATICA BAHIA BLANCA
Unidad Ejecutora - UE
artículos
Título:
Fractional square functions and potential spaces
Autor/es:
BETANCOR, JORGE J.; FARIÑA, JUAN C.; RODRÍGUEZ-MESA, LOURDES; TESTONI, RICARDO; TORREA, JOSÉ L.
Revista:
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Lugar: Amsterdam; Año: 2012 vol. 386 p. 487 - 504
ISSN:
0022-247X
Resumen:
Carlos Segovia and Richard Wheeden defined fractional square functions involving fractionalderivatives. They obtained characterizations of potential spaces via square functions. Ouraim in this paper is to reconsider the ideas of Segovia and Wheeden under the light of thesemigroups of operators. We develop a quite general theory of fractional square functionsassociated to certain classes of operators. We present some examples of differentialoperators where our theory applies. We recover in a more compact way the resultsof Segovia and Wheeden and we obtain new characterizations of the potential spacesassociated to the harmonic oscillator and Ornstein?Uhlenbeck operators.
