We show how the uniform convexity and uniform nonsquare properties of an interpolation operator can be preserved by the induced operator between the real interpolation spaces for infinite families. Also we show how uniform smoothness is inherited by real interpolation spaces for infinite families.
机构:
Institut für Analysis Fachrichtung Mathematik, TU Dresden, DresdenInstitut für Analysis Fachrichtung Mathematik, TU Dresden, Dresden
Chill R.
Król S.
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机构:
Institut für Analysis Fachrichtung Mathematik, TU Dresden, Dresden
Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, ul. Chopina 12/18, ToruńInstitut für Analysis Fachrichtung Mathematik, TU Dresden, Dresden