Function Spaces with Exponential Weights I
Copyright policy )Function Spaces with Exponential Weights I
AbstractIn this paper we define weighted function spaces of type Bspq(u) and Fspq(u) on the Euclidean space IRn, where u is a weight function of at most exponential growth. In particular, u(x) = exp(±|χ|) is an admissible weight. We prove some basic properties of these spaces, such as completeness and density of the smooth functions.
- Schiller International University France
- University of Greifswald Germany
atomic decompositions, completeness, Topological linear spaces of test functions, distributions and ultradistributions, weighted function spaces, density of the smooth functions, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, exponential weights, weight function of at most exponential growth, function spaces
atomic decompositions, completeness, Topological linear spaces of test functions, distributions and ultradistributions, weighted function spaces, density of the smooth functions, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, exponential weights, weight function of at most exponential growth, function spaces
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