Theory of Np Spaces

This monograph provides a comprehensive study of a typical and novel function space, known as the $\mathcal{N}_p$ spaces. These spaces are Banach and Hilbert spaces of analytic functions on the open unit disk and open unit ball, and the authors also explore composition operators and weighted composi...

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Bibliographic Details
Main Authors: Khoi, Le Hai, Mashreghi, Javad (Author)
Format: eBook
Language:English
Published: Cham Birkhäuser 2023, 2023
Edition:1st ed. 2023
Series:Frontiers in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Chapter. 1. Function spaces
  • Chapter. 2. The counting function and its applications
  • Chapter. 3. Np-spaces in the unit disc D
  • Chapter. 4. The alpha-Bloch spaces
  • Chapter. 5. Weighted composition operators on D
  • Chapter. 6. Hadamard gap series in H
  • Chapter. 7. Np spaces in the unit ball B
  • Chapter. 8. Weighted composition operators on B
  • Chapter. 9. Structure of Np-spaces in the unit ball B
  • Chapter. 10. Composition operators between Np and Nq
  • Chapter. 11. Np-type functions with Hadamard gaps in the unit ball B
  • Chapter. 12. N (p; q; s)-type spaces in the unit ball of Cn