A critical parabolic Sobolev embedding via Littlewood-Paley decomposition
نویسنده
چکیده
In this paper, we show a parabolic version of the Ogawa type inequality in Sobolev spaces. Our inequality provides an estimate of the L∞ norm of a function in terms of its parabolic BMO norm, with the aid of the square root of the logarithmic dependency of a higher order Sobolev norm. The proof is mainly based on the Littlewood-Paley decomposition and a characterization of parabolic BMO spaces. AMS subject classifications: 42B35, 54C35, 42B25, 39B05.
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