Weighted inequalities for Hardy-type operators involving suprema

• Autores: Amiran Gogatishvili , Lubos Pick, Bohumír Opic
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 57, Fasc. 3, 2006, págs. 227-255
• Idioma: español
• Enlaces
  • Texto completo
• Referencias bibliográficas
  • M.A. Ariño and B. Muckenhoupt, Maximal functions on classical Lorentz spaces and Hardy’s inequality with weights for non-increasing functions,...
  • C. Bennett and R. Sharpley, Interpolation of Operators, Pure and Applied Mathematics 129, Academic Press, Inc., Boston, MA, 1988.
  • M.J. Carro, A. Gogatishvili, J. Martín, and L. Pick, Weighted inequalities involving two Hardy operators with applications to embeddings of...
  • M.J. Carro, L. Pick, J. Soria, and V.D. Stepanov, On embeddings between classical Lorentz spaces, Math. Inequal. Appl. 4 (2001), 397–428.
  • M.J. Carro and J. Soria, Boundedness of some integral operators, Canad. J. Math. 45 (1993), 1155–1166.
  • A. Cianchi, R. Kerman, B. Opic, and L. Pick, A sharp rearrangement inequality for fractional maximal operator, Studia Math. 138 (2000), 277–284.
  • M. Cwikel and E. Pustylnik, Weak type interpolation near “endpoint” spaces, J. Funct. Anal. 171 (2000), 235–277.
  • R.Ya. Doktorskii, Reiterative relations of the real interpolation method, Soviet Math. Dokl. 44 (1992), 665–669.
  • D.E. Edmunds and B. Opic, Boundedness of fractional maximal operators between classical and weak-type Lorentz spaces, Dissertationes Math....
  • W\.D. Evans and B. Opic, Real interpolation with logarithmic functors and reiteration, Canad. J. Math. 52 (2000), 920–960.
  • A. Gogatishvili and L. Pick, Duality principles and reduction theorems, Math. Inequal. Appl. 3 (2000), 539–558.
  • R. Kerman and L. Pick, Optimal Sobolev imbedding spaces, in Forum Math., to appear.
  • Q. Lai, Weighted modular inequalities for Hardy type operators, Proc. London Math. Soc. 79 (1999), 649–672.
  • S. Lai, Weighted norm inequalities for general operators on monotone functions, Trans. Amer. Math. Soc. 340 (1993), 811–836.
  • V.G. Maz'ja, Sobolev Spaces, Springer, Berlin, 1975.
  • B. Opic, On boundedness of fractional maximal operators between classical Lorentz spaces, Function Spaces, Differential Operators and Nonlinear...
  • B. Opic and A. Kufner, Hardy-type Inequalities, Longman Scientific and Technical, Harlow, 1990.
  • L. Pick, Supremum operators and optimal Sobolev inequalities, Function Spaces, Differential Operators and Nonlinear Analysis (Pudasjärvi,...
  • L. Pick, Optimal Sobolev Embeddings, Rudolph-Lipschitz-Vorlesungsreihe no. 43, Rheinische Friedrich-Wilhelms-Universität Bonn, 2002.
  • E. Pustylnik, Optimal interpolation in spaces of Lorentz-Zygmund type, J. Anal. Math. 79 (1999), 113–157.
  • E. Sawyer, Weighted Lebesgue and Lorentz norm inequalities for the Hardy operator, Trans. Amer. Math. Soc. 281 (1984), 329–337.
  • E. Sawyer, Boundedness of classical operators on classical Lorentz spaces, Studia Math. 96 (1990), 145–158.
  • V.D. Stepanov, The weighted Hardy’s inequality for nonincreasing functions, Trans. Amer. Math. Soc. 338 (1993), 173–186.