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Two power-weight inequalities for the Hilbert transform on the cones of monotone functions

Author:
Stepanov, Vladimir D.   Tikhonov, Sergey Yu.  


Journal:
Complex Variables and Elliptic Equations


Issue Date:
2011


Abstract(summary):

The two power-weight (L-u(p), L-v(q)) norm inequalities for the Hilbert transform on the cones of monotone functions are characterized in the case 0 < p <= q < infinity.


Page:
1039-1047


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