PIMS- UAlberta Statistics Colloquium: Sergey Tikhonov

About 100 years ago, William Henry Young  and Felix Hausdorff provedthat, for a periodic L_p-integrable function, the sequence of its Fourier coefficients necessarily lies in the discrete \ell_{p'} space provided that p'  is the conjugate of p  and 1<p\leq 2. . There are many examples showing that the Hausdorff -Young inequality does not hold for p>2. In this talk I discuss natural extensions of Hausdorff -Young type inequalities for any p. The talk does not require any prior knowledge of the topic.