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Characterization of Besov space with Lp-modulus of continuity

1) One way would be to apply Tonelli's theorem \begin{align*} &\int_{\mathbb{R}} \int_{x-h}^{x}|w'(s)|^{p}ds dx = \int_{\mathbb{R}} \int_{\mathbb{R}} |w'(s)|^{p} \chi_{[x-h,x]}(s) dsdx =\\ & \int_{\ …
Paata Ivanishvili's user avatar