Characterizations of bounded sets in spaces of ultradistributions
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- by Stevan Pilipović PDF
- Proc. Amer. Math. Soc. 120 (1994), 1191-1206 Request permission
Abstract:
We characterize bounded sets in ultradistributions spaces $\mathcal {D}_{{L^t}}^{’({M_p})}, t \in [1,\infty ], S{’^{\{ {M_p}\} }}$, and $S{’^{({M_p})}}$ and bounded sets and convergent sequences in $\mathcal {D}{’^{({M_p})}}$ and $\mathcal {D}{’^{\{ {M_p}\} }}$ via the convolution by corresponding test functions. The structural theorems for $\mathcal {D}_{{L^t}}^{’\{ {M_p}\} }$ and $\widetilde D_{{L^t}}^{’\{ {M_p}\} },\;t \in [1,\infty ]$, are also given.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 120 (1994), 1191-1206
- MSC: Primary 46F05
- DOI: https://doi.org/10.1090/S0002-9939-1994-1211587-0
- MathSciNet review: 1211587