Skip to main content
Log in

Hardy's inequalities in function spaces containing derivatives of noninteger order

  • Published:
Mathematical Notes Aims and scope Submit manuscript

Abstract

A theorem on Hardy's inequality in function spaces containing derivatives of noninteger order is proved.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. G. Hardy, D. Littlewood, and G. Pólya,Inequalities, Cambridge Univ. Press, Cambridge (1952).

    Google Scholar 

  2. M. Sh. Birman and M. Z. Solomyak, “Numerical analysis in Sobolev's embedding theorems and applications to spectral theory,” in:10th Mathematics Workshop, Mathematics Institute of the Academy of Sciences of the USSR, Kiev (1974), pp. 7–81.

    Google Scholar 

  3. V. A. Kondrat'ev and O. A. Oleinik, “On Hardy's and Korn's inequalities for some class of unbounded regions and their applications in elasticity theory,”Dokl. Akad. Nauk SSSR [Soviet Math. Dokl.],312, No. 6, 1299–1304 (1990).

    MathSciNet  Google Scholar 

  4. H. Triebel, “Anisotropic function spaces. I: Hardy's inequality, decompositions,”Anal. Math.,10, 53–77 (1984).

    MATH  MathSciNet  Google Scholar 

  5. R. V. Guseinov, “On inequalities of Hardy type and their applications in the theory of quasielliptic equations,”Dokl. Ross. Akad. Nauk [Russian Acad. Sci. Dokl. Math.],330, No. 5, 542–545 (1993).

    MATH  Google Scholar 

  6. S. L. Sobolev,Some Applications of Function Analysis in Mathematical Physics [in Russian], Leningrad (1995).

  7. O. V. Besov, V. A. Il'in, and S. M. Nikol'skii,Integral Representations for Functions and Embedding Theorems [in Russian], Nauka, Moscow (1975).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated fromMatematichcskie Zametki, Vol. 63, No. 5, pp. 673–678, May, 1998.

The author wishes to thank Professor V. A. Kondrat'ev for his attention to this work.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Guseinov, R.V. Hardy's inequalities in function spaces containing derivatives of noninteger order. Math Notes 63, 593–597 (1998). https://doi.org/10.1007/BF02312839

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02312839

Key words

Navigation