JournalszaaVol. 18, No. 4pp. 839–848

On Direct Decomposition of the Space Lp(Ω)\mathcal L_p(\Omega)

  • Uwe Kähler

    Universidade de Aveiro, Portugal
On Direct Decomposition of the Space $\mathcal L_p(\Omega)$ cover
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Abstract

A direct decomposition of the space Lp(Ω)\mathcal L_p(\Omega) is obtained as a generalization of the orthogonal decomposition of the space L2(Ω)\mathcal L_2(\Omega), where one of the subspaces is the space of all monogenic Lp\mathcal L_p-functions. Basic results about the orthogonal decomposition are carried over to this more general context. In the end a boundary value problem of the Stokes equations will be studied by a method based on this direct decomposition.

Cite this article

Uwe Kähler, On Direct Decomposition of the Space Lp(Ω)\mathcal L_p(\Omega). Z. Anal. Anwend. 18 (1999), no. 4, pp. 839–848

DOI 10.4171/ZAA/917