Free interpolation in Hardy-Orlicz spaces

• Autorzy: Andreas Hartmann
• Języki publikacji: EN

Abstrakty

EN

We show that the Carleson condition is necessary and sufficient for free interpolation in Hardy-Orlicz spaces $ℋ_φ$ on the unit disk ⅅ under certain conditions on φ, and we give a characterization of the trace space $ℋ_φ|_Λ}$ if Λ is a finite union of Carleson sequences.

Słowa kluczowe

EN

free interpolation; Hardy-Orlicz spaces; interpolating sequences; Carleson condition

Kategorie tematyczne

• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 30E05: Moment problems, interpolation problems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1999
• Tom: 135
• Numer: 2
• Strony: 179-190

Daty

wydano

1999

otrzymano

1998-12-28

poprawiono

1999-02-23

Twórcy

autor

Andreas Hartmann

• UFR Mathématiques/Informatique, Université Bordeaux I, 351, cours de la Libération, 33405 Talence Cedex, France

Bibliografia

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