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# ðŸ“™ A Real Variable Method for the Cauchy Transform, and Analytic Capacity by Takafumi Murai (auth.) â€” free pdf

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**A Real Variable Method for the Cauchy Transform, and Analytic Capacity free download by Takafumi Murai**

This research monograph studies the Cauchy transform on curves with the object of formulating a precise estimate of analytic capacity. The note is divided into three chapters. The first chapter is a review of the CalderÃ³n commutator. In the second chapter...

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This research monograph studies the Cauchy transform on curves with the object of formulating a precise estimate of analytic capacity. The note is divided into three chapters. The first chapter is a review of the CalderÃ³n commutator. In the second chapter, a real variable method for the Cauchy transform is given using only the rising sun lemma. The final and principal chapter uses the method of the second chapter to compare analytic capacity with integral-geometric quantities. The prerequisites for reading this book are basic knowledge of singular integrals and function theory. It addresses specialists and graduate students in function theory and in fluid dynamics.

- Series:
**Lecture Notes in Mathematics 1307** - Author:
**Takafumi Murai (auth.)** - Year:
**1988** - Publisher:
**Springer-Verlag Berlin Heidelberg** - Language:
**English** - ISBN:
**9780387190914,0387190910**

- File size:
**1 278 946** - Format:
**djvu**

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This research monograph studies the Cauchy transform on curves with the object of formulating a precise estimate of analytic capacity. The note is divided into three chapters. The first chapter is a review of the CalderÃ³n commutator. In the second chapter...

An exploration of the unity of several areas in harmonic analysis, this text emphasizes real-variable methods. Discusses classical Fourier series, summability, norm convergence, and conjugate function.Â Examines the Hardy-Littlewood maximal function, the C...

An exploration of the unity of several areas in harmonic analysis, this text emphasizes real-variable methods. Discusses classical Fourier series, summability, norm convergence, and conjugate function.Â Examines the Hardy-Littlewood maximal function, the C...

An exploration of the unity of several areas in harmonic analysis, this text emphasizes real-variable methods. Discusses classical Fourier series, summability, norm convergence, and conjugate function.Â Examines the Hardy-Littlewood maximal function, the C...

Operational methods have been used for over a century to solve problems such as ordinary and partial differential equations. When solving such problems, in many cases it is fairly easy to obtain the Laplace transform, while it is very demanding to determi...

Operational methods have been used for over a century to solve problems such as ordinary and partial differential equations. When solving such problems, in many cases it is fairly easy to obtain the Laplace transform, while it is very demanding to determi...

Operational methods have been used for over a century to solve many problemsâ€”for example, ordinary and partial differential equations. In many problems it is fairly easy to obtain the Laplace transform, but it can be very demanding to determine the invers...

The triumphant vindication of bold theories-are these not the pride and justification of our life's work? -Sherlock Holmes, The Valley of Fear Sir Arthur Conan Doyle The main purpose of our book is to present and explain mathematical methods for obtaining...

Presents an aspect of activity in integral equations methods for the solution of Volterra equations for those who need to solve real-world problems. Since there are few known analytical methods leading to closed-form solutions, the emphasis is on numerica...