University of Birmingham > Talks@bham > Analysis Seminar > Composition of paraproducts

Composition of paraproducts

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  • UserMaría Reguera (University of Birmingham)
  • ClockFriday 11 October 2013, 16:00-17:00
  • HouseNuffield G22.

If you have a question about this talk, please contact José Cañizo.

Seminar is on Friday this week

Let $b$ be a function in $L^2(\mathbb R)$ and let us consider the multiplication operator by $b$, $M_{b}f:= bf$. Using the decomposition of $f$ and $b$ in the Haar basis, we can write the multiplication operator $M_{b}f$ as the sum of three operators, each of which is known by the name of paraproduct. These paraproducts, that at first look like made-up objects, are the discrete version of very classical operators that appear in Harmonic Analysis, Operator Theory and even PDE ’s. In this talk we study the composition of such operators and his connection with Sarason Conjecture in operator theory and the $A_{2}$ Conjecture in harmonic analysis. This is a joint work with S. Pott, E. Sawyer and B. Wick.

This talk is part of the Analysis Seminar series.

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