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Complex Variables and Elliptic Equations
An International Journal
Volume 56, 2011 - Issue 10-11: A tribute to Victor I. Burenkov; Guest Editors: Robert P. Gilbert, Massimo Lanza de Cristoforis and Alexander Pankov
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Original Articles

Some constructive criteria of optimal embeddings for potentials

Mikhail L. Goldman Department of Nonlinear Analysis and Optimization, People's Friendship University of Russia, Moscow, RussiaCorrespondence[email protected]
Pages 885-903 | Received 29 Sep 2010, Accepted 21 May 2011, Published online: 12 Jul 2011

References

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  • Burenkov , VI and Goldman , ML . 1995 . Calculation of the norm of a positive operator on the cone of monotone functions . Proc. Steklov Inst. Math. , 210 : 47 – 65 .
  • Carro , M , Gogatishvili , A , Martin , J and Pick , L . 2008 . Weighted inequalities involving two Hardy operators with applications to embedding of function spaces . J. Operator Theory , 59 : 309 – 332 .
  • Gogatishvili , A , Johansson , M , Okpoti , CA and Persson , L-E . 2007 . Characterization of embeddings in Lorentz spaces using a method of discretisation and anti-discretisation . Bull. Austral. Math. Soc. , 76 : 69 – 92 .
  • Gogatishvili , A and Pick , L . 2003 . Discretization and anti-discretization of rearrangement- invariant norms . Publ. Mat. , 47 : 311 – 358 .
  • Sawyer , E . 1990 . Boundedness of classical operators on classical Lorentz paces . Studia Math. , 96 : 145 – 158 .

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