On the non-equivalence of rearranged Walsh and trigonometric systems in $L_{p}$

• Autorzy: Aicke Hinrichs , Jörg Wenzel
• Języki publikacji: EN

Abstrakty

EN

We consider the question of whether the trigonometric system can be equivalent to some rearrangement of the Walsh system in $L_{p}$ for some p ≠ 2. We show that this question is closely related to a combinatorial problem. This enables us to prove non-equivalence for a number of rearrangements. Previously this was known for the Walsh-Paley order only.

Kategorie tematyczne

• 42C20: Other transformations of harmonic type
• 46B15: Summability and bases
• 42C10: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2003
• Tom: 159
• Numer: 3
• Strony: 435-451

Daty

wydano

2003

Twórcy

autor

Aicke Hinrichs

• Mathematisches Institut, FSU Jena, D-07743 Jena, Germany

autor

Jörg Wenzel

• Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria 0002, South Africa

Identyfikatory

DOI

10.4064/sm159-3-7