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On Maz’ya type inequalities for convolution operators

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The Maz’ya Anniversary Collection

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 109))

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Abstract

A presentation of my results concerning an inequality for convolution operators invented by Vladimir Maz’ya.

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References

  1. S. Eilertsen, On weighted positivity of ordinary differential operators, to appear in Journal of inequalities and applications.

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  2. S. Eilertsen, On weighted positivity and the Wiener regularity of a boundary point for the fractional laplacian, to appear.

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  3. V. G. Maz’ya, On the behavior near the boundary of solutions to the Dirichlet problem for the biharmonic operator, Dokl. Akad. Nauk SSSR, 18:4 (1977), 15–19.

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  4. V. G. Maz’ya, Behavior of solutions to the Dirichlet problem for the biharmonic operator at a boundary point, Equadiff IV, Lecture Notes in Math. 703, 250–262, Springer-Verlag, Berlin-Heidelberg, (1979).

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  5. V. G. Maz’ya, On the Wiener Type Regularity of a Boundary Point for the Polyhar-monic Operator, to appear in Appl. Anal.

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  6. V. G. Maz’ya, Sobolev Spaces, Springer-Verlag, Berlin-New York, (1985).

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  7. V. G. Maz’ya, T. Donchev, On the Wiener regularity of a boundary point for the polyharmonic operator, Dokl. Bolg. Akad. Nauk 36:2 (1983), 177–179; English translation, Amer. Math. Soc. Transi. (2)137 (1987), 53-55.

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  8. V. G. Maz’ya, M. Otelbaev, Embedding theorems and the spectrum of a pseudodiffer-ential operator, Sib. Mat. Zh. 18 (1977) 1073–1087 (Russian). English translation: Siberian Math. J. 18 (1977) 758-769.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Linköping University, S-581 83, Linköping, Sweden

    Stefan Eilertsen

Authors
  1. Stefan Eilertsen
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Rostock, D-18051, Rostock, Germany

    Jürgen Rossmann , Peter Takáč  & Günther Wildenhain ,  & 

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© 1999 Springer Basel AG

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Eilertsen, S. (1999). On Maz’ya type inequalities for convolution operators. In: Rossmann, J., Takáč, P., Wildenhain, G. (eds) The Maz’ya Anniversary Collection. Operator Theory: Advances and Applications, vol 109. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8675-8_18

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  • DOI: https://doi.org/10.1007/978-3-0348-8675-8_18

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9726-6

  • Online ISBN: 978-3-0348-8675-8

  • eBook Packages: Springer Book Archive

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