This page is being updated continuously.

Please contact the organizer if you wish to register.

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Location:

The talks will be given at Matematikcentrum. This is the building with a huge traffic sign of a moose on it.

The visiting address is Sölvegatan 18. See the following link.

https://goo.gl/maps/CXwavVkn19SLNx6aA

We will be in room 228. Follow the signs when you enter the building.

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Schedule:

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11:00 - 12:00

Jim Wright, University of Edinburgh, Wallenberg Guest Professor at Lund University

Harmonic Analysis & Number Theory: Connections between Fourier Restriction and the Vinogradov Mean Value Theorem

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12:00 - 12:15

Break, with a light snack for registered attendants.

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12:15 - 13:15

Andreas Rosén, Mathematical Sciences - Chalmers University of Technology and University of Gothenburg

Causal sparse domination of Beurling maximal regularity operators

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13:30 - 14:30

Lunch with registered attendants at Skissernas Museum. Included for speakers.

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14:45 - 15:25

Odysseas Bakas, Basque Center for Applied Mathematics

Multiplier theorems for Hardy-Orlicz spaces

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15:25 - 16:05

Gianmarco Brocchi, University of Birmingham

Quadratic Sparse Domination

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16:05 - 16:20

Break, with a light snack for registered attendants.

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16:20 - 17:00

Bartosz Malman, KTH Royal Institute of Technology in Stockholm

Cyclicity of singular inner functions in various function spaces

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Abstracts:

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Harmonic Analysis & Number Theory: Connections between Fourier Restriction and the Vinogradov Mean Value Theorem

In this talk we explore the relationship between the Fourier Restriction problem and the Vinogradov Mean Value Theorem. These connections persist outside the euclidean setting and hold in any local field. In a certain range of exponents, the connections go in both directions, giving us an equivalence between a Fourier restriction bound and counting approximate solutions to a system of Diophantine equations. This is joint work with Jonathan Hickman.

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Causal sparse domination of Beurling maximal regularity operators

We prove boundedness of Calderón-Zygmund operators acting in Banach functions spaces on domains, defined by the L₁-Carleson functional and L_q (1<q<∞) Whitney averages. For such bounds to hold, we assume that the operator maps towards the boundary of the domain. We obtain the Carleson estimates by proving a pointwise domination of the operator, by sparse operators with a causal structure. The work is motivated by maximal regularity estimates for elliptic PDEs and is related to one-sided weighted estimates for singular integrals. This is joint work with Tuomas Hytönen.

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Multiplier theorems for Hardy-Orlicz spaces

The Hardy-Orlicz space H^log arises naturally in the study of products between functions in the Hardy space H¹ and functions in BMO.

In this talk, we present variants of some classical Fourier multipliers theorems of Hardy, Littlewood, and Paley (involving H^p spaces) for a class of Hardy-Orlicz spaces that include H^log. Some related open problems will also be discussed.

This is joint work with Sandra Pott, Salvador Rodriguez-Lopez, and Alan Sola.

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Quadratic Sparse Domination

Sparse domination subsume plenty of quantitative estimates. It has been used to derive optimal estimates for classical operators in harmonic analysis, and even for operators that are beyond the classical Calderón–Zygmund theory. In this talk we present a quadratic sparse domination which is best suited for square function operators. In particular, we are able to derive better quantitative weighted estimates for non-integral square functions which satisfy some off-diagonal estimates. This is a joint work with Julian Bailey and Maria Carmen Reguera.

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Cyclicity of singular inner functions in various function spaces

A function is cyclic in a given topological space of analytic functions if the polynomial multiples of the function form a dense subset. In the theory of Hardy spaces, the so called inner factor of a function is an obstruction to its cyclicity. In classes of functions essentially larger than the Hardy classes, some inner functions become cyclic, and some remain an obstruction. In the talk, I'll discuss related results on cyclic singular inner functions. Some of the presented results have been obtained in my collaboration with Adem Limani.

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