Malliavin derivatives in spaces with variable exponents

Bochi Xu; Yongqiang Fu; Boping Tian

doi:10.1155/2014/198060

Malliavin derivatives in spaces with variable exponents

Bochi Xu^*
, Yongqiang Fu
, Boping Tian

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

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

Abstract

Spaces with variable exponents L^p(x) (H,μ) and L ^p(x) (H, μ; H) are introduced. After discussing some approximation results of L^p(x) (H, μ ), Sobolev spaces on H with variable exponents are introduced. At last, we define Malliavin derivatives in L ^p(x) (H, μ) and discuss some properties of Malliavin derivatives in L^p(x) (H, μ ).

Original language	English
Article number	198060
Journal	Journal of Function Spaces
Volume	2014
DOIs	https://doi.org/10.1155/2014/198060
State	Published - 2014

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title = "Malliavin derivatives in spaces with variable exponents",

abstract = "Spaces with variable exponents Lp(x) (H,μ) and L p(x) (H, μ; H) are introduced. After discussing some approximation results of Lp(x) (H, μ ), Sobolev spaces on H with variable exponents are introduced. At last, we define Malliavin derivatives in L p(x) (H, μ) and discuss some properties of Malliavin derivatives in Lp(x) (H, μ ).",

author = "Bochi Xu and Yongqiang Fu and Boping Tian",

year = "2014",

doi = "10.1155/2014/198060",

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AU - Xu, Bochi

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AU - Tian, Boping

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AB - Spaces with variable exponents Lp(x) (H,μ) and L p(x) (H, μ; H) are introduced. After discussing some approximation results of Lp(x) (H, μ ), Sobolev spaces on H with variable exponents are introduced. At last, we define Malliavin derivatives in L p(x) (H, μ) and discuss some properties of Malliavin derivatives in Lp(x) (H, μ ).

UR - https://www.scopus.com/pages/publications/84899558053

U2 - 10.1155/2014/198060

DO - 10.1155/2014/198060

M3 - 文章

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SN - 2314-8896

VL - 2014

JO - Journal of Function Spaces

JF - Journal of Function Spaces

M1 - 198060

ER -

Malliavin derivatives in spaces with variable exponents

Abstract

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