Inequalities for ratios of functionals of harmonic functions
- 1 December 1982
- journal article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 79 (24) , 7958-7960
- https://doi.org/10.1073/pnas.79.24.7958
Abstract
We show that the ratios (A(u)/N(u))(k)A(u) and (N(u)/A(u))(k)N(u) have L(p) norms equivalent with the H(p) norm of u. Here A(u) is the Lusin area integral and N(u) is the nontangential maximal function.Keywords
This publication has 1 reference indexed in Scilit:
- Distribution Function Inequalities for Singular IntegralsProceedings of the National Academy of Sciences, 1972