Abstract
Let lambda > 0 and Phi(lambda) := {phi(1,lambda), phi(2,lambda), ...} be the system of dilated Laguerre functions. We show that if L-1 (R+) boolean AND L-infinity(R+) is embedded into a separable Banach function space X(R+), then the linear span of Phi(lambda) is dense in X(R+). This implies that the linear span of Phi(lambda) is dense in every separable rearrangement-invariant space X(R+) and in every separable variable Lebesgue space L-p(.)(R+).
Original language | English |
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Pages (from-to) | 37-45 |
Number of pages | 9 |
Journal | Journal of Inequalities and Special Functions |
Volume | 13 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2022 |
Keywords
- Laguerre functions
- Banach function space
- rearrangement-invariant space
- variable Lebesgue space