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Embedding and multiplier theorems for $H^P({\bf R}^n)$

About this Title

A. Baernstein, II and E. T. Sawyer

Publication: Memoirs of the American Mathematical Society
Publication Year 1985: Volume 53, Number 318
ISBNs: 978-0-8218-2318-7 (print); 978-1-4704-0731-5 (online)
MathSciNet review: 776176
MSC: Primary 42B30; Secondary 42B15

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Table of Contents


  • Introduction
  • 1. Embedding theorems
  • 2. Fourier embedding
  • 3. Multipliers
  • 4. Proof of Theorem 1
  • 5. Best possible nature of Theorems 1b and 1c
  • 6. Proof of Theorem 3
  • 7. Best possible nature of Theorems 3
  • 8. Lower majorant theorem
  • 9. On a theorem of Pigno and Smith
  • 10. Extension of a theorem of Oberlin