1989•Tokyo Journal of MathematicsOpen access

Interpolation Theory on Sobolev Spaces over the Abstract Wiener Space

Takuya Sobukawa

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Abstract

In recent years, the theory of Sobolev spaces over the abstract Wiener space was constructed in the study of stochastic differential equations ([9, 11, 15]). In the present paper, we prove an interpolation theorem on Sobolev spaces over the abstract Wiener space.

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In recent years, the theory of Sobolev spaces over the abstract Wiener space was constructed in the study of stochastic differential equations ([9, 11, 15]). In the present paper, we prove an interpolation theorem on Sobolev spaces over the abstract Wiener space.

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Available abstract

In recent years, the theory of Sobolev spaces over the abstract Wiener space was constructed in the study of stochastic differential equations ([9, 11, 15]). In the present paper, we prove an interpolation theorem on Sobolev spaces over the abstract Wiener space.

Key concepts: Sobolev space, Mathematics, Interpolation space, Integral representation theorem for classical Wiener space, Sobolev spaces for planar domains, Interpolation (computer graphics), Sobolev inequality, Space (punctuation)

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