Representation Theorems in Hardy Spaces

Mashreghi, Javad

Representation Theorems in Hardy Spaces / Javad Mashreghi; - New York :Cambridge University Press , 2009. - xii, 372p. 24 cm - London Mathematical Society student texts, 74. .

Fourier series --
Abel-Poisson means --
Harmonic functions in the unit disc --
Logarithmic convexity --
Analytic functions in the unit disc --
Norm inequalities for the conjugate function --
Blaschke products and their applications --
Interpolating linear operators --
The Fourier transform --
Poisson integrals --
Harmonic functions in the upper half plane --
The Plancherel transform --
Analytic functions in the upper half plane --
The Hilbert transform on R --
Topics from real analysis --
A panoramic view of the representation theorems.

Gives a complete description of representation theorems with direct proofs for both classes of Hardy spaces. Clear and concise, it features over 300 exercises and is ideal for advanced undergraduate and graduate students taking courses in Advanced Complex Analysis, Function Theory or Theory of Hardy Spaces.

9780521732017

Zafaa Books & Distributors :313/56F 49A, Anand Nagar Inderlok Delhi 110035


Mathematics
Analysis
Hardy spaces.
Analytic functions.
Hardy-Raum.
Integralformel.
Analytic functions
Hardy spaces

515.94 MAS

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