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Theory of BA Spaces and Its Applications

Theory of BA Spaces and Its Applications


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About the Book

A selection of papers by Chinese mathematicians on the theory and applications of Ba spaces. Professors Ding Xiaqi and Luo Peizhu introduced and studied the so-called Ba spaces in detail. Ba spaces are the new function spaces, which include some important Orlicz spaces and Orlicz-Sobolev spaces, and have been effectively applied to partial differential equations, harmonic analysis and function theory, and obtained a series of important results. The research on the Ba spaces shows that some properties of Ba spaces are similar to those of Orlicz spaces, but since the investigation of Ba spaces is based on the classical Lp spaces, the methods are more natural and the results are more concrete than that on Orlicz spaces. On the other hand, the further research has shown that there are some essential differences between Ba spaces and Orlicz spaces. This fact shows that Ba spaces possess more refined construction than the Orlicz spaces do. The authors also point out that if the generated spaces of Ba spaces take the hardy spaces Hp (or Bergman spaces) and the "Yang Function" arises from an entire function with a suitable growth, then the resulting Ba spaces correspond just to BMOA (or Bloch spaces) which are the important spaces in funciton theory.


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Product Details
  • ISBN-13: 9787030031006
  • Publisher: Science Press
  • Publisher Imprint: Science Press
  • Height: 260 mm
  • ISBN-10: 7030031008
  • Publisher Date: 30 Oct 1992
  • Binding: Paperback
  • Width: 187 mm


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