Interpolation with a function parameter from the category point of view. (English) Zbl 1540.46026
Summary: We generalize here the notion of interpolation space of given exponent by replacing this exponent with Boyd functions. In particular, this approach leads to the usual interpolation method with a function parameter. We present some results in this general setting. Some are well-known, others not so well.
MSC:
| 46B70 | Interpolation between normed linear spaces |
| 26A12 | Rate of growth of functions, orders of infinity, slowly varying functions |
| 46M35 | Abstract interpolation of topological vector spaces |
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