Characterizations of some function spaces in terms of Haar wavelets

• Autorzy: Triebel H.

Identyfikatory

DOI

10.14708/cm.v53i2.780

• Języki publikacji: EN

Abstrakty

EN

Some spaces A^s_p,q(Rⁿ) with A = {B, F}, s ϵ R, 0 < p, q ≤ ∞, covering Besov spaces, Hölder-Zygmund spaces and Sobolev spaces, admit characterizations in terms of Haar bases. It is the main aim of this paper to extend this observation to corresponding Morreyfied spaces L^r A^s_p,q(Rⁿ). As a by-product we obtain Littlewood-Paley theorems for (homogeneous and inhomogeneous) Morrey spaces L^r_p(Rⁿ), L^r_p(Rⁿ) and, in particular, L°^r_p(Rⁿ).

Słowa kluczowe

EN

Besov spaces; Sobolev spaces; Morrey spaces; Haar wavelets

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2013
• Tom: Vol. 53, No. 2
• Strony: 35--53
• Opis fizyczny: Bibliogr. 16 poz., wykr.

Twórcy

autor

Triebel H.

• Mathematisches Institut, Fakultät für Mathematik und Informatik, Friedrich-Schiller-Universität, 07737 Jena, Germany

Bibliografia

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• [14] H. Triebel. Local function spaces, heat and Navier-Stokes equations. European Math. Soc. Publishing House, Zürich, 2013.
• [15] W. Yuan, W. Sickel and D. Yang.Morrey and Campanato meet Besov, Lizorkin and Triebel. Lect. Notes Math. 2005, Springer, Heidelberg, 2010. Hans Triebel 53 Hans Triebel Mathematisches Institut, Fakultät für Mathematik und Informatik Friedrich-Schiller-Universität, 07737 Jena, Germany

Uwagi

Błędna numeracja w bibliografii. Dwa razy występuje numer 8.