Bounded and Compact Integral Operators

Bounded and Compact Integral Operators by David E. Edmunds, V.M Kokilashvili, Alexander Meskhi.

The monograph presents some of the authors' recent and original results concerning boundedness and compactness problems in Banach function spaces both for classical operators and integral transforms defined, generally speaking, on nonhomogeneous spaces. Itfocuses onintegral operators naturally...

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Bibliographic Details
Main Authors: Edmunds, David E. (Author), Kokilashvili, V.M (Author), Meskhi, Alexander (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 2002.
Edition:1st ed. 2002.
Series:Mathematics and Its Applications ; 543
Springer eBook Collection.
Subjects:
Potential theory (Mathematics).
Fourier analysis.
Harmonic analysis.
Integral transforms.
Operational calculus.
Operator theory.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1. Hardy-Type Operators
  • 2. Fractional Integrals on the Line
  • 3. One-Sided Maximal Functions
  • 4. Ball Fractional Integrals
  • 5. Potentials on RN
  • 6. Fractional Integrals on Measure Spaces
  • 7. Singular Numbers
  • 8. Singular Integrals
  • 9. Multipliers of Fourier Transforms
  • 10. Problems
  • References.

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