This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant Banach function spaces. At the same time, however, it clearly shows how the theory should be generalized in order to accommodate the more recent and
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Laplace-beltrami operator relative to a kahler metric would be fine.
Apr 7, 2020 yano's result concerns with operators acting on lp spaces defined on on the occasion of this special issue of pure and applied functional analysis there is a close connection between extrapolation and interpola.
Lp ∩ lq ⊆ lr ⊆ lp + lq then, if we have a linear operator t which is bounded on lp and on lq, it's natural to wonder whether.
A bilinear interpolation theorem for limit interpolation methods. Finally, we show applications to the study of bilinear multipliers.
In particular, we derive upper estimates of these numbers for operators between spaces generated by interpolation functors on banach couples satisfying.
Jun 17, 2019 the behavior of bilinear operators acting on the interpolation of banach spaces in relation to compactness is analyzed, and an one-sided.
Mar 4, 2005 we show that the john‐nirenberg inequality holds on these spaces and they interpolate with lp spaces by the complex interpolation method.
Assume that l is a homogeneous, constant coefficient, elliptic differential operator and that ω ⊂ rn is a bounded lipschitz domain.
In this article we give a version of the boyd interpolation theorem for multilinear operators. We will be working with rearrangement invariant quasi-banach.
We generalize earlier results on the interpolation property for triples of cones (q 0 q 1 q) (where q 0 q 1 and q are cones in weighted spaces of numerical.
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