On the Hp-Lp-boundedness of some fractional integral operators

ROCHA PABLO, URCIUOLO MARTA

CZECHOSLOVAK MATHEMATICAL JOURNAL

SPRINGER HEIDELBERG

Año: 2012 vol. 62 p. 625 - 635

0011-4642

Let A₁,...,A_{m} be n×n real matrices such that for each 1≤i≤m, A_{i} is invertible and A_{i}-A_{j} is invertible for i≠j. In this paper we study integral operators of the form Tf(x)=∫k₁(x-A₁y)k₂(x-A₂y)...k_{m}(x-A_{m}y)f(y)dy, k_{i}(y)=∑_{j∈Z}2^{((jn)/(q_{i}))}ϕ_{i,j}(2^{j}y), 1≤q_{i}