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Interpolation theorems for Block-Lorentz spaces
- 1.0106927 - MU-W 20040134 RIV JP eng C - Conference Paper (international conference)
Gogatishvili, Amiran - Moriton, S. - Niwa, M. - Sobukawa, T.
Interpolation theorems for Block-Lorentz spaces.
[Interpolační věta pro blokové, Lorentzovy prostory.]
Proceedings of the International Symposium on Banach and Function Spaces. Yokohama: Yokohama Publishers, 2004, s. 215-223.
[International Symposium on Banach and Function Spaces. Kitakyushu (JP), 02.10.2003-04.10.2003]
Institutional research plan: CEZ:AV0Z1019905
Keywords : weighted Lorentz spaces * real interpolation * block-Lorentz spaces
Subject RIV: BA - General Mathematics
We show that the assumption $1/q = (1-/.theta.)/q_0 + /.theta./q_1$ is essential in the Asekritova-Krugljak-Maligranda-Nikolova-Persson theorem, and prove an interpolation theorem on weighted Lorentz spaces.
Dokazujeme nepostradatelnost předpokladu $/q=(1-theta)/q_0+/theta/q_1$ pro větu, kterou dokázali Asekritová, Krugjak, Maligrada, Nikolova a Persson, a odvozujeme interpolační větu pro váhové Lorentzovy prostory.
Permanent Link: http://hdl.handle.net/11104/0014099
Number of the records: 1