RT Journal Article
T1 Weighted inequalities for commutators of fractional integrals on spaces of homogeneous type.
A1 Bernardis-Medici, Ana Lucía
A1 Hartzstein, Silvia
A1 Pradolini, Gladis
K1 Análisis matemático
AB Let 0 <γ< 1, b be a BMO function and Im γ,b the commutator of order m for the fractional integral.We prove two type of weighted Lp inequalities for Im γ,b in the context of the spaces of homogeneous type.The first one establishes that, for A∞ weights, the operator Im γ,b is bounded in the weighted Lp norm by the maximal operator Mγ (Mm), where Mγ is the fractional maximal operator and Mm is the Hardy– Littlewood maximal operator iterated m times. The second inequality is a consequence of the first one and shows that the operator Im γ,b is bounded from Lp[Mγp(M[(m+1)p]w)(x)dμ(x)] to Lp[w(x)dμ(x)], where [(m + 1)p] is the integer part of (m + 1)p and no condition on the weight w is required. Fromthe first inequality we also obtain weighted Lp–Lq estimates for Im γ,b generalizing the classical results of Muckenhoupt and Wheeden for the fractional integral operator.
PB Elsevier
YR 2006
FD 2006
LK https://hdl.handle.net/10630/29908
UL https://hdl.handle.net/10630/29908
LA eng
NO Ana Bernardis, Silvia Hartzstein, Gladis Pradolini, Weighted inequalities for commutators of fractional integrals on spaces of homogeneous type, Journal of Mathematical Analysis and Applications, Volume 322, Issue 2, 2006, Pages 825-846, ISSN 0022-247X, https://doi.org/10.1016/j.jmaa.2005.09.051.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026