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On weighted norm inequalities for the Lusin area integral
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