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$$\mathcal{Q}_{K}$$ Spaces

In: Mobius Invariant QK Spaces

Author

Listed:
  • Hasi Wulan

    (Shantou University, Department of Mathematics)

  • Kehe Zhu

    (State University of New York, Albany, Department of Mathematics and Statistics)

Abstract

As a family of Möbius invariant function spaces, 𝒬 K $$\mathcal{Q}_{K}$$ spaces were first introduced at the beginning of this century. The theory of 𝒬 K $$\mathcal{Q}_{K}$$ spaces has since attracted considerable attention and experienced rapid development over the past two decades. In this chapter, we define 𝒬 K $$\mathcal{Q}_{K}$$ spaces, prove several inclusion relations, and construct some important examples of functions in 𝒬 K $$\mathcal{Q}_{K}$$ . Many of the results and techniques here will be needed later on.

Suggested Citation

  • Hasi Wulan & Kehe Zhu, 2017. "$$\mathcal{Q}_{K}$$ Spaces," Springer Books, in: Mobius Invariant QK Spaces, chapter 0, pages 25-58, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-58287-0_2
    DOI: 10.1007/978-3-319-58287-0_2
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