Russian Chemical Bulletin. Vol. 60. 2011. P.. 2124-2127
Two power-weight inequalities for the Hilbert transform on the cones of monotone functions
The two power-weight (Lpu, Lqv) norm inequalities for the Hilbert transform on the cones of monotone functions are characterized in the case 0<p≤q<∞. © 2011 Taylor & Francis.
Authors
Stepanov V.D. 1 , Tikhonov S.Y. 2
Issue number
10-11
Language
English
Pages
1039-1047
State
Published
Link
Volume
56
Year
2011
Organizations
- 1 Department of Mathematical Analysis and Function Theory, Peoples Friendship University, Miklukho Maklai 6, Moscow 117198, Russian Federation
- 2 ICREA and Centre de Recerca Matematica, Campus de Bellaterra, Edifici C, 08193 Bellaterra, Barcelona, Spain
Keywords
Hilbert transform; Monotone functions; Weighted norm inequalities
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