Pacific national university Main page Bulletin of Pacific national university

UDC 517.983

© Lomakina E. N., 2008

Boundedness of the Hardy-type integral operator with variable limits of integration

Characterization of the mapping property such as L(p) -> L(q) boundedness of the Hardy-type integral operator with variable limits of integration acting in the case 0

References:

  1. Batuev E. N., Stepanov V. D. Vesovye neravenstva dlya operatora Hardi // Sib. matem. zhurnal. 1989. ¹ 30.
  2. Gol`dman M. L. Neravenstva tipa Hardi na konuse kvazimonotonnykh funk-tsiy: Preprint VTS DVO RAN. Habarovsk, 1998.
  3. Heining H. P., Sinnamon G. Mapping properties of integral averaging operators // Studia Math. 1998. ¹ 129.
  4. Sawyer E. T. Weighted Lebesgue and Lorentz norm inequalities for the Hardy oper-ator // Trans. Amer. Math. Soc. 1984. ¹ 281.
  5. Gogatishvili, J. Lang The generalized Hardy operator with ker- nel and variable in-tegral limits in Banach function spaces // J. Ineq. Appl. 1999. ¹ 4.
  6. Lai Q. Weighted modular inequalities for Hardy type operators // Proc. LMS 1999. ¹ 79.
  7. Stepanov V. D. Two weighted estimates for Riemann - Liouville integrals // Math. Inst. 1988. ¹ 39.
  8. Chen T., Sinnamon G. Generalized Hardy operators and normal izing measures // J.Ineq. Appl. 2002. ¹ 7.

Download Download article (385.3 Kb)

Сontents Сontents