Biomeditsinskaya Khimiya.
Russian Academy of Medical Sciences.
Vol. 56.
2010.
P. 179-186
Kernel operators with variable intervals of integration in lebesgue spaces and applications
New criteria of Lp - Lq boundedness of Hardy-Steklov type operator (1.1) with both increasing on (0,∞) boundary functions a(x) and b(x) are obtained for 1< p < q < ∞ and 0 < q < p < ∞, p > 1. This result is applied for two-weighted Lp - Lq characterization of the corresponding geometric Steklov operator (1.3) and other related problems.
Authors
Stepanov V.D.
1
,
Ushakova E.P.2,
3
Publisher
Element D.O.O.
Number of issue
3
Language
English
Pages
449-510
Status
Published
Link
Volume
13
Year
2010
Organizations
- 1 Department of Mathematical Analysis and Function Theory, Peoples Friendship University, 117198 Moscow, Russian Federation
- 2 Computing Centre of Far Eastern Branch of Russian Academy of Sciences, 680000 Khabarovsk, Russian Federation
- 3 Department of Mathematics, Uppsala University, Box 480, 751 06 Uppsala, Sweden
Keywords
Boundedness; Integral operators; Lebesgue spaces; Weights
Date of creation
19.10.2018
Date of change
19.10.2018
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17th Saint Petersburg International Conference on Integrated Navigation Systems, ICINS 2010 - Proceedings.
State Research Center of the Russian Federation.
2010.
P. 397-398