Unconditionality of orthogonal spline systems in H¹

• Autorzy: Gegham Gevorkyan , Anna Kamont , Karen Keryan , Markus Passenbrunner
• Języki publikacji: EN

Abstrakty

EN

We give a simple geometric characterization of knot sequences for which the corresponding orthonormal spline system of arbitrary order k is an unconditional basis in the atomic Hardy space H¹[0,1].

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: 2015
• Tom: 226
• Numer: 2
• Strony: 123-154

Daty

wydano

2015

Twórcy

autor

Gegham Gevorkyan

• Yerevan State University, Alex Manoukian 1, Yerevan, Armenia

autor

Anna Kamont

• Institute of Mathematics, Polish Academy of Sciences, Wita Stwosza 57, 80-952 Gdańsk, Poland

autor

Karen Keryan

• Yerevan State University, Alex Manoukian 1, Yerevan, Armenia

autor

Markus Passenbrunner

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

Identyfikatory

DOI

10.4064/sm226-2-2