Relatively compact criteria for Hilbert valued random fields on abstract Wiener space

Xicheng Zhang

doi:10.1016/j.crma.2006.01.004

Relatively compact criteria for Hilbert valued random fields on abstract Wiener space

Xicheng Zhang^*

^*Corresponding author for this work

Huazhong University of Science and Technology

Research output: Contribution to journal › Article › peer-review

Abstract

In terms of the compact embedding theorems in finite dimensional Sobolev spaces, conditions are given under which Hilbert valued random fields on abstract Wiener space are relatively compact in some L^p-space.

Original language	English
Pages (from-to)	437-440
Number of pages	4
Journal	Comptes Rendus Mathematique
Volume	342
Issue number	6
DOIs	https://doi.org/10.1016/j.crma.2006.01.004
Publication status	Published - 15 Mar 2006
Externally published	Yes

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title = "Relatively compact criteria for Hilbert valued random fields on abstract Wiener space",

abstract = "In terms of the compact embedding theorems in finite dimensional Sobolev spaces, conditions are given under which Hilbert valued random fields on abstract Wiener space are relatively compact in some Lp-space.",

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Relatively compact criteria for Hilbert valued random fields on abstract Wiener space

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