Estimates of Marcinkiewiez integrals with bounded homogeneous Kernels of degree zero

초록

Under the cancellation property and a certain Dini-type condition on kernels, we prove that Marcinkiewicz integrals with kernels which are homogeneous functions of degree zero, are bounded from H-1 (R-n) to L-1 (R-n), from L-infinity (R-n) to BMO (R-n), and from L-p (R-n) to L-p (R-n) for 1 < p < infinity.

키워드