JournalszaaVol. 1, No. 6pp. 1–16

Extremal inequalities in Sobolev spaces and quasiconformal mappings

  • Tadeusz Iwaniec

    University of Warsaw, Poland
Extremal inequalities in Sobolev spaces and quasiconformal mappings cover
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Abstract

We estimate the norm of a two-dimensional Hilbert operator in $L_p-spaces. This problen leads to inequalities of the theory of Sobolev spaces. In certain cases, by using methods of the theory of quasiconformal mappings, we get best possible estimates.

Cite this article

Tadeusz Iwaniec, Extremal inequalities in Sobolev spaces and quasiconformal mappings. Z. Anal. Anwend. 1 (1982), no. 6, pp. 1–16

DOI 10.4171/ZAA/37