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Homogeneous Spaces

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2005)

Abstract

In this chapter we deal with the homogeneous counterpart of \(A_{p, q}^{s, \tau }({\mathbb{R}}^ n)\). The homogeneous Besov-type spaces \(\dot{B}_{p, q}^{s, \tau }({\mathbb{R}}^ n)\) and Triebel-Lizorkin-type spaces \(\dot{F}_{p, q}^{s, \tau }({\mathbb{R}}^ n)\) were introduced and investigated in [127, 164–167].

Keywords

  • Homogeneous Space
  • Wavelet Basis
  • Morrey Space
  • Dyadic Cube
  • Quotient Topology

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Correspondence to Dachun Yang .

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© 2011 Springer-Verlag Berlin Heidelberg

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Yuan, W., Sickel, W., Yang, D. (2011). Homogeneous Spaces. In: Morrey and Campanato Meet Besov, Lizorkin and Triebel. Lecture Notes in Mathematics(), vol 2005. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14606-0_8

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