# Workshop of the laboratory "High-dimensional approximation and applications" ("Discretization and related questions", 6 – 10 December 2021

The laboratory "High-dimensional approximation and applications" in cooperation with Moscow Center of Fundamental and Applied Mathematics organizes a conference from 6 to 10 December 2021.

Join Zoom Meeting:

Program:

Monday, December 6:

→ 19:15–20:05, **Feng Dai** (Edmonton, Canada), "Sampling discretization of integral norms", slides;

→ 20:15–21:05, **Doron Lubinsky** (Atlanta, US), "Methods for Proving Marcinkiewicz-Zygmund Inequalities", slides;

→ 21:15–22:05, **Andriy Prymak** (Winnipeg, Canada), "Christoffel function and discretization", slides.

Tuesday, December 7:

→ 19:15–20:05, **Gideon Schechtman** (Rehovot, Israel), "Tight embeddings and weighted samplings for subspaces of \(L_p\)", slides;

→ 20:15–21:05, **Vladimir Temlyakov** (Columbia, US), "Sampling discretization and entropy", slides;

→ 21:15–22:05, **Egor Kosov** (Moscow, Russia), "Sampling discretization and moments of random vectors", slides.

Wednesday, December 8:

→ 19:15–20:05, **Boris Kashin** (Moscow, Russia), "The estimates of norms of submatrices and discretization", slides;

→ 20:15–21:05, **Joaquim Ortega-Cerda** (Barcelona, Spain), "Strict density inequalities for sampling and interpolation sets in weighted spaces of holomorphic functions", slides;

→ 21:15–22:05, **Aleksei Shadrin** (Cambridge, United Kingdom), "Universal discretization for the lower sets", slides.

Thursday, December 9:

→ 19:15–20:05, **Andras Kroo** (Budapest, Hungary), "Bernstein-Markov type inequalities and discretization of norms", slides;

→ 20:15–21:05, **Andriy Bondarenko** (Trondheim, Norway), "Spherical designs and other optimal configurations", slides;

→ 21:15–22:05, **Sergey Tikhonov** (Barcelona, Spain), "Polynomial inequalities and discretization".

The conference was resheduled from 9-13 March to 6-10 December.

Morning sessions (offline):

Tuesday, December 7:

→ 10:00–10:45, **A.R. Alimov**, "Monotone path-connectedness of the sets and smooth sections of unit balls of spaces \(C(Q)\) and \(L^1\)";

→ 10:50–11:50, **L.Sh. Burusheva, I.V. Limonova**, "Exact weighted discretization";

→ 11:55–12:40, **A.P. Solodov**, "Example of orthogonal system with extremely large \(L_2\)-norm of the maximal operator";

→ 12:45–13:45, **A.A. Kuleshov**, "The various definitions of multiple differentiability of a function \(f\colon \mathbb{R}^n \to \mathbb{R}\)".

Wednesday, December 8:

→ 10:00–10:45, **M.G. Plotnikov**, "Problems of the recovery of functions and orthogonal series";

→ 10:50–11:35, **A.Yu. Popov**, "Exact inequalities for the sums of sine series with monotone coefficients";

→ 11:50–12:35, **E.D. Kosov**, "Discretization theorems for general subspaces";

→ 12:35–13:20, **K.A. Oganesyan**, "Marcinkiewicz-type inequality for polynomials with the spectrum of the hyperbolic crosses for \(q = \infty\)".

Thursday, December 9:

→ 10:00–10:45, **M.I. Dyachenko**, "The properties of trigonometric series with generalized-monotone coefficients and some related problems of harmonical analysis";

→ 10:50–11:35, **M.R. Gabdullin**, "Universal discretization";

→ 11:40–12:25, **L.M. Arutyunyan, T.I. Zaitseva**, "Marcinkiewicz-type inequality for trigonometric polynomials for \(q = \infty\)";

→ 12:30–13:15, **E.D. Alferova**, "Estimates of the norms of the sums of sine series with monotone coefficients".

Program and organizing commitee:

→ V.N. Temlyakov (chair)

→ A.P. Solodov (deputy chair)

→ E.D. Kosov (scientific secretary)

→ B.S. Kashin

→ V.E. Podolskii

→ P.A. Borodin

→ O.S. Kudryavceva

→ I.V. Limonova

Contacts: