Relatively compact criteria for Hilbert valued random fields on abstract Wiener space (Q819850)
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scientific article; zbMATH DE number 5016290
| Language | Label | Description | Also known as |
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| English | Relatively compact criteria for Hilbert valued random fields on abstract Wiener space |
scientific article; zbMATH DE number 5016290 |
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Relatively compact criteria for Hilbert valued random fields on abstract Wiener space (English)
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29 March 2006
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This note gives criteria for relative compactness of Hilbert valued random fields in some \(L^p\) spaces, especially allowing the functionals to be in fractional Wiener-Sobolev spaces. It is well known that criteria for relative compactness are very useful tools for constructing solutions to some PDEs. The criteria presented in this note can be verified for a class of SDEs or SPDEs. More details and several applications on this are provided by the author [J. Funct. Anal. 232, No. 1, 195--221 (2006; Zbl 1102.60052)]
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Wiener-Sobolev space
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fractional Wiener-Sobolev space
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relatively compact
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0.8209290504455566
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0.7939882278442383
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0.769778311252594
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0.7417552471160889
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