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
Journal
Complex Variables and Elliptic Equations
Number of issue
10-11
Language
English
Pages
1039-1047
Status
Published
Link
External link
DOI
10.1080/17476933.2011.559546
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
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/2495/
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