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The Scholarly Kitchen

Robert Harington, AMS Associate Executive Director, Publishing talks with Nigel Fletcher Jones, Director of the American University in Cairo Press in his latest post on The Scholarly Kitchen.

Featured Publication

Peter Lax, Mathematician: An Illustrated Memoir
Reuben Hersh
The life of Peter Lax, one of the most famous and influential mathematicians of the modern era.


Expansion in Finite Simple Groups of Lie Type
Terence Tao
This text focuses on Cayley graphs on finite groups of Lie type, developing tools such as quasirandomness and product estimates.


Purple Comet! Math Meet: The First Ten Years
Titu Andreescu and Jonathan Kane
Any student interested in math would enjoy this important collection of problems and solutions.

Bulletin of the AMS

Bulletin of the AMS $L^p$ theory for outer measures and two themes of Lennart Carleson united
( view abstract )
$L^p$ theory for outer measures and two themes of Lennart Carleson united
We develop a theory of $ L^p$ spaces based on outer measures generated through coverings by distinguished sets. The theory includes as a special case the classical $ L^p$ theory on Euclidean spaces as well as some previously considered generalizations. The theory is a framework to describe aspects of singular integral theory, such as Carleson embedding theorems, paraproduct estimates, and $ T(1)$ theorems. It is particularly useful for generalizations of singular integral theory in time-frequency analysis, the latter originating in Carleson's investigation of convergence of Fourier series. We formulate and prove a generalized Carleson embedding theorem and give a relatively short reduction of the most basic $ L^p$ estimates for the bilinear Hilbert transform to this new Carleson embedding theorem.

Browse the archive 1891 - 2015.

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