Provides a complete description of representation theorems with direct proofs for both classes of Hardy spaces.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Professor Javad Mashreghi is Bonyan Research Chair in Mathematical Analysis in the Department of Mathematics and Statistics at Laval University, Quebec. He won the prestigious G. de B. Robinson Award of the Canadian Mathematical Society in 2004 for two long research papers published in the Canadian Journal of Mathematics. His research interests are complex and harmonic analysis and their applications in applied sciences.
Inhaltsangabe
Preface 1. Fourier series 2. Abel-Poisson means 3. Harmonic functions in the unit disc 4. Logarithmic convexity 5. Analytic functions in the unit disc 6. Norm inequalities for the conjugate function 7. Blaschke products and their applications 8. Interpolating linear operators 9. The Fourier transform 10. Poisson integrals 11. Harmonic functions in the upper half plane 12. The Plancherel transform 13. Analytic functions in the upper half plane 14. The Hilbert transform on R A. Topics from real analysis B. A panoramic view of the representation theorems Bibliography Index.
Preface 1. Fourier series 2. Abel-Poisson means 3. Harmonic functions in the unit disc 4. Logarithmic convexity 5. Analytic functions in the unit disc 6. Norm inequalities for the conjugate function 7. Blaschke products and their applications 8. Interpolating linear operators 9. The Fourier transform 10. Poisson integrals 11. Harmonic functions in the upper half plane 12. The Plancherel transform 13. Analytic functions in the upper half plane 14. The Hilbert transform on R A. Topics from real analysis B. A panoramic view of the representation theorems Bibliography Index.
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