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Original Articles

Hardy integral estimates for a class of integral transforms

Pages 115-127 | Received 14 Jul 2010, Accepted 16 Feb 2011, Published online: 18 Apr 2011

References

  • Andersen , K. F. 1980 . Weighted inequalities for the Stieltjes transformation and Hilbert's double series . Proc. Roy. Soc. Edinburgh Sect. , A 86 : 75 – 84 .
  • Andersen , K. F. 1995 . Weighted inequalities for convolutions . Proc. Amer. Math. Soc. , 123 : 1129 – 1136 .
  • Bloom , S. 1992 . Hardy integral estimates for the Laplace transform . Proc. Amer. Math. Soc. , 116 : 417 – 426 .
  • Bradley , J. S. 1978 . Hardy inequalities with mixed norms . Canad. Math. Bull. , 21 : 405 – 408 .
  • Cerdá , J. and Martín , J. 2000 . Weighted Hardy inequalities and Hardy transforms of weights . Studia Math. , 139 : 189 – 196 .
  • Cruz-Uribe , D. 1996 . Piecewise monotone doubling measures . Rocky Mountain J. Math. , 26 : 545 – 583 .
  • Edmunds , D. E. , Kokilashvili , V. and Meskhi , A. 2002 . Bounded and Compact Integral Operators , Dordrecht : Kluwer Academic Publishers .
  • Kufner , A. and Persson , L.-E. 2003 . Weighted Inequalities of Hardy Type , Singapore : World Scientific .
  • Maz'ja , V. G. 1985 . Sobolev Spaces , Berlin : Springer .
  • Muckenhoupt , B. 1972 . Hardy's inequality with weights . Studia Math. , 44 : 31 – 38 .
  • B. Opic and A. Kufner, Hardy-type Inequalities, Pitman Research Notes in Mathematics Series 219, Longman Scientific & Technical, Harlow, 1990
  • Sinnamon , G. 1988 . A note on the Stieltjes transformation . Proc. Roy. Soc. Edinburgh Sect. , A 110 : 73 – 78 .
  • Sinnamon , G. 1998 . One-dimensional Hardy-type inequalities in many dimensions . Proc. Roy. Soc. Edinburgh Sect. , A 128 : 833 – 848 .

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