Structure Theorem for Functionals in the Space 𝔖′𝜔1,𝜔2
We introduce the space 𝔖𝜔1,𝜔2 of all 𝐶∞ functions 𝜙 such that 𝑠𝑢𝑝|𝛼|≤𝑚‖𝑒𝑘𝜔1𝜕𝛼𝜙‖∞ and 𝑠𝑢𝑝|𝛼|≤𝑚‖𝑒𝑘𝜔2𝜕𝛼0𝑥0005𝑒𝜙‖∞ are finite for all 𝑘∈ℕ0, 𝛼∈ℕ𝑛0, where 𝜔1 and 𝜔2 are two weights satisfying the classical Beurling conditions. Moreover, we give a topological characterization of the space 𝔖𝜔1,𝜔2 without co...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2008-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2008/756834 |
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