This talk concerns maximal functions given by averages over some family of geometric objects. I will discuss the boundedness of those maximal functions on the Lebesgue spaces and its role in problems of harmonic analysis.
| Lecturer | 이상혁 |
|---|---|
| Dept. | 서울대학교 |
| date | Nov 16, 2023 |
This talk concerns maximal functions given by averages over some family of geometric objects. I will discuss the boundedness of those maximal functions on the Lebesgue spaces and its role in problems of harmonic analysis.
Mathematics, Biology and Mathematical Biology
Maximal averages in harmonic analysis
Mechanization of proof: from 4-Color theorem to compiler verification
Mirror symmetry of pairings
Mixed type PDEs and compressible flow
Mixing time of random processes
Noise-induced phenomena in stochastic heat equations
Non-commutative Lp-spaces and analysis on quantum spaces
Noncommutative Geometry. Quantum Space-Time and Diffeomorphism Invariant Geometry
Noncommutative Surfaces
Nonlocal generators of jump type Markov processes
Normal form reduction for unconditional well-posedness of canonical dispersive equations
Number theoretic results in a family
On circle diffeomorphism groups
On function field and smooth specialization of a hypersurface in the projective space
On Ingram’s Conjecture
On some nonlinear elliptic problems
On the distributions of partition ranks and cranks
On the resolution of the Gibbs phenomenon
On the Schauder theory for elliptic PDEs
