By Emmanuel Fricain,Javad Mashreghi

An H(b) area is outlined as a suite of analytic features that are within the photograph of an operator. the speculation of H(b) areas bridges classical matters: advanced research and operator conception, which makes it either attractive and important. the 1st quantity of this finished therapy is dedicated to the initial matters required to appreciate the basis of H(b) areas, reminiscent of Hardy areas, Fourier research, essential illustration theorems, Carleson measures, Toeplitz and Hankel operators, a number of sorts of shift operators, and Clark measures. the second one quantity specializes in the critical conception. either books are available to graduate scholars in addition to researchers: every one quantity includes a number of routines and tricks, and figures are integrated all through to demonstrate the speculation. jointly, those volumes supply every thing the reader must comprehend and savor this pretty department of mathematics.

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