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Displaying similar documents to “On Wiener–Hopf factors for stable processes”

Non-similarity of Walsh and trigonometric systems

P. Wojtaszczyk (2000)

Studia Mathematica

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We show that in L p for p ≠ 2 the constants of equivalence between finite initial segments of the Walsh and trigonometric systems have power type growth. We also show that the Riemann ideal norms connected with those systems have power type growth.

Ideal norms and trigonometric orthonormal systems

Jörg Wenzel (1994)

Studia Mathematica

Similarity:

We characterize the UMD-property of a Banach space X by sequences of ideal norms associated with trigonometric orthonormal systems. The asymptotic behavior of those numerical parameters can be used to decide whether X is a UMD-space. Moreover, if this is not the case, we obtain a measure that shows how far X is from being a UMD-space. The main result is that all described sequences are not only simultaneously bounded but are also asymptotically equivalent.