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In several applications, as limit theorems, large deviations, degree of Wiener maps, calculation of the Radon- Nikodym, etc, we show that the log-sobolev inequality implies the exponential integrability of the square of the Wiener functional whose derivatives are essentially bounded. We shall examine with general measures which satisfy a logarithmic sobolev inequality and an interpolation inequality which state that the sobolev norm of the first order can be upper bounded by the product of thedoi:10.5281/zenodo.3016054 fatcat:b3kjcf564rgajdtqcjlnv72oe4