## Download E-books A Real Variable Method for the Cauchy Transform, and Analytic Capacity (Lecture Notes in Mathematics) PDF

By Takafumi Murai

This examine monograph reports the Cauchy rework on curves with the thing of formulating an actual estimate of analytic ability. The word is split into 3 chapters. the 1st bankruptcy is a overview of the Calderón commutator. within the moment bankruptcy, a true variable strategy for the Cauchy rework is given utilizing simply the emerging sunlight lemma. the ultimate and central bankruptcy makes use of the strategy of the second one bankruptcy to match analytic means with integral-geometric amounts. the necessities for studying this e-book are easy wisdom of singular integrals and serve as idea. It addresses experts and graduate scholars in functionality idea and in fluid dynamics.