On weighted norm inequalities for the Lusin area integral

Carlos Segovia, Richard L. Wheeden
1973 Transactions of the American Mathematical Society  
It is shown that the Lusin area integral for the unit circle is a bounded operator on any weighted Lp space, 1 < p < oo, on which the conjugate function is a bounded operator. Results are also proved for the case 0 < p < 1.
doi:10.1090/s0002-9947-1973-0311921-0 fatcat:m2kc35tclbb4hloikyimi54scy