Remarks on square functions in the Littlewood-Paley theory
- 1 October 1998
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 58 (2), 199-211
- https://doi.org/10.1017/s0004972700032172
Abstract
We prove that certain square function operators in the Littlewood-Paley theory defined by the kernels without any regularity are bounded on , 1 < p < ∞, w ∈ Ap (the weights of Muckenhoupt). Then, we give some applications to the Carleson measures on the upper half space.Keywords
This publication has 2 references indexed in Scilit:
- Weighted Norm Inequalities for Homogeneous Singular IntegralsTransactions of the American Mathematical Society, 1993
- On the Functions of Littlewood-Paley, Lusin, and MarcinkiewiczTransactions of the American Mathematical Society, 1958