How Long to Read Selected Works of Donald L. Burkholder

How Long Does it Take to Read Selected Works of Donald L. Burkholder?

It takes the average reader 12 hours and 35 minutes to read Selected Works of Donald L. Burkholder by Burgess Davis

Assuming a reading speed of 250 words per minute. Learn more

Description

This book chronicles Donald Burkholder's thirty-five year study of martingales and its consequences. Here are some of the highlights. Pioneering work by Burkholder and Donald Austin on the discrete time martingale square function led to Burkholder and Richard Gundy's proof of inequalities comparing the quadratic variations and maximal functions of continuous martingales, inequalities which are now indispensable tools for stochastic analysis. Part of their proof showed how novel distributional inequalities between the maximal function and quadratic variation lead to inequalities for certain integrals of functions of these operators. The argument used in their proof applies widely and is now called the Burkholder-Gundy good lambda method. This uncomplicated and yet extremely elegant technique, which does not involve randomness, has become important in many parts of mathematics. The continuous martingale inequalities were then used by Burkholder, Gundy, and Silverstein to prove the converse of an old and celebrated theorem of Hardy and Littlewood. This paper transformed the theory of Hardy spaces of analytic functions in the unit disc and extended and completed classical results of Marcinkiewicz concerning norms of conjugate functions and Hilbert transforms. While some connections between probability and analytic and harmonic functions had previously been known, this single paper persuaded many analysts to learn probability. These papers together with Burkholder's study of martingale transforms led to major advances in Banach spaces. A simple geometric condition given by Burkholder was shown by Burkholder, Terry McConnell, and Jean Bourgain to characterize those Banach spaces for which the analog of the Hilbert transform retains important properties of the classical Hilbert transform. Techniques involved in Burkholder's usually successful pursuit of best constants in martingale inequalities have become central to extensive recent research into two well- known open problems, one involving the two dimensional Hilbert transform and its connection to quasiconformal mappings and the other a conjecture in the calculus of variations concerning rank-one convex and quasiconvex functions. This book includes reprints of many of Burkholder's papers, together with two commentaries on his work and its continuing impact.

How long is Selected Works of Donald L. Burkholder?

Selected Works of Donald L. Burkholder by Burgess Davis is 729 pages long, and a total of 188,811 words.

This makes it 246% the length of the average book. It also has 231% more words than the average book.

How Long Does it Take to Read Selected Works of Donald L. Burkholder Aloud?

The average oral reading speed is 183 words per minute. This means it takes 17 hours and 11 minutes to read Selected Works of Donald L. Burkholder aloud.

What Reading Level is Selected Works of Donald L. Burkholder?

Selected Works of Donald L. Burkholder is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Selected Works of Donald L. Burkholder?

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