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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
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Inequality of the norm of the convolution in $L^p(\mathbb{R}^n)$ with symmetric decreasing r...
Is it true that
$$
||f*g||_p \le ||\,|f|^* * |g|^*||_p\quad ?
$$
where $|f|^*$ and $|g|^*$ are the symmetric decreasing rearrangements of the functions $|f|$ and $|g|$. Under what conditions on $f$ an …