Partial retractions for weighted Hardy spaces

• Autorzy: Sergei Kisliakov , Quanhua Xu
• Języki publikacji: EN

Abstrakty

EN

Let 1 ≤ p ≤ ∞ and let $w_0, w_1$ be two weights on the unit circle such that $log(w_0w_1^{-1})∈ BMO$. We prove that the couple $(H_p(w_0), H_p(w_1))$ of weighted Hardy spaces is a partial retract of $(L_p(w_0), L_p(w_1))$. This completes previous work of the authors. More generally, we have a similar result for finite families of weighted Hardy spaces. We include some applications to interpolation.

Słowa kluczowe

EN

partial retraction; interpolation; weighted Hardy space; BMO

Kategorie tematyczne

• 46B70: Interpolation between normed linear spaces
• 42B30: H p -spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2000
• Tom: 138
• Numer: 3
• Strony: 251-264

Daty

wydano

2000

otrzymano

1999-03-29

Twórcy

autor

Sergei Kisliakov

• Steklov Math. Institute, St. Petersburg Branch, Fontanka 27, 191011 St. Petersburg, Russia.,

autor

Quanhua Xu

• Université de Franche-Comté, UMR de Mathématiques, 16, Route de Gray, 25030 Besançon Cedex, France.,

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