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Operator-valued Fourier multiplier theorems on Lp(X) and geometry of Banach spaces by Maria Girardi; Lutz Weis is a Mathematics article available to read on EtoBox.
What is Operator-valued Fourier multiplier theorems on Lp(X) and geometry of Banach spaces about?
This paper gives the optimal order l of smoothness in the Mihlin and Ho ̈rmander conditions for operator-valued Fourier multiplier theorems. This optimal order l is determined by the geometry of the underlying Banach spaces (e.g. Fourier type). This requires a new approach to such multiplier theorems, which in turn leads to rather weak assumptions formulated in terms of Besov norms.
Who reads Operator-valued Fourier multiplier theorems on Lp(X) and geometry of Banach spaces?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Maria Girardi; Lutz Weis
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-1236)
- Published
- 2003
- Language
- EN
- Field
- Mathematics (Physical Sciences)