Unconditionality of orthogonal spline systems in $L^{p}$

• Autorzy: Markus Passenbrunner
• Języki publikacji: EN

Abstrakty

EN

We prove that given any natural number k and any dense point sequence (tₙ), the corresponding orthonormal spline system is an unconditional basis in reflexive $L^{p}$.

Kategorie tematyczne

• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 42C10: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2014
• Tom: 222
• Numer: 1
• Strony: 51-86

Daty

wydano

2014

Twórcy

autor

Markus Passenbrunner

• Institute of Analysis, Johannes Kepler University Linz, Altenberger Strasse 69, 4040 Linz, Austria

Identyfikatory

DOI

10.4064/sm222-1-5