Hankel operators and extremal problems in H1
✍ Scribed by Rahman Younis
- Book ID
- 105116041
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 1986
- Tongue
- English
- Weight
- 422 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0378-620X
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📜 SIMILAR VOLUMES
## Abstract An essential bounded function __ϕ__ gives a continuous linear functional on the Hardy space __H__^1^ on the bitorus. In this paper, we consider extremal problems on __H__^1^ when __ϕ__ is a rational function, __ϕ__ is a product of one variable functions or __ϕ__ = |__f__|/__f__ for some
We formulate the solution of the equation \(\bar{\partial}^{k+1} F=f\) with minimum \(L^{2}\) norm and characterize the symbol functions so that the corresponding middle Hankel operators are bounded, compact, and belong to the Schatten \(p\)-class \((p \geqslant 1)\). This generalizes the earlier re