Some classical function systems in separable Orlicz spaces

• Autorzy: C. Finet , G. E. Tkebuchava
• Języki publikacji: EN

Abstrakty

EN

The boundedness of (sub)sequences of partial Fourier and Fourier-Walsh sums in subspaces of separable Orlicz spaces is studied. The boundedness of the shift operator and Paley function with respect to the Haar system is also investigated. These results are applied to get the analogues of the classical theorems on basicness of the trigonometric and Walsh systems in nonreflexive separable Orlicz spaces.

Słowa kluczowe

EN

Fourier; Fourier-Walsh series; Paley function; Haar system; separable Orlicz space

Kategorie tematyczne

• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 42A20: Convergence and absolute convergence of Fourier and trigonometric series
• 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: 1996
• Tom: 121
• Numer: 2
• Strony: 193-205

Daty

wydano

1996

otrzymano

1996-04-04

Twórcy

autor

C. Finet

• Université de Mons-Hainaut, Institut de Mathématique et d'Informatique, Avenue Maistriau, 15, 7000 Mons, Belgium

autor

G. E. Tkebuchava

• Tbilisi State University, Chavchavadze 1, 380028 Tbilisi, Republic of Georgia

Bibliografia

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