How Long to Read The Dirichlet Space and Related Function Spaces

How Long Does it Take to Read The Dirichlet Space and Related Function Spaces?

It takes the average reader 9 hours and 8 minutes to read The Dirichlet Space and Related Function Spaces by Nicola Arcozzi

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

Description

The study of the classical Dirichlet space is one of the central topics on the intersection of the theory of holomorphic functions and functional analysis. It was introduced about100 years ago and continues to be an area of active current research. The theory is related to such important themes as multipliers, reproducing kernels, and Besov spaces, among others. The authors present the theory of the Dirichlet space and related spaces starting with classical results and including some quite recent achievements like Dirichlet-type spaces of functions in several complex variables and the corona problem. The first part of this book is an introduction to the function theory and operator theory of the classical Dirichlet space, a space of holomorphic functions on the unit disk defined by a smoothness criterion. The Dirichlet space is also a Hilbert space with a reproducing kernel, and is the model for the dyadic Dirichlet space, a sequence space defined on the dyadic tree. These various viewpoints are used to study a range of topics including the Pick property, multipliers, Carleson measures, boundary values, zero sets, interpolating sequences, the local Dirichlet integral, shift invariant subspaces, and Hankel forms. Recurring themes include analogies, sometimes weak and sometimes strong, with the classical Hardy space; and the analogy with the dyadic Dirichlet space. The final chapters of the book focus on Besov spaces of holomorphic functions on the complex unit ball, a class of Banach spaces generalizing the Dirichlet space. Additional techniques are developed to work with the nonisotropic complex geometry, including a useful invariant definition of local oscillation and a sophisticated variation on the dyadic Dirichlet space. Descriptions are obtained of multipliers, Carleson measures, interpolating sequences, and multiplier interpolating sequences; estimates are obtained to prove corona theorems.

How long is The Dirichlet Space and Related Function Spaces?

The Dirichlet Space and Related Function Spaces by Nicola Arcozzi is 536 pages long, and a total of 137,216 words.

This makes it 181% the length of the average book. It also has 168% more words than the average book.

How Long Does it Take to Read The Dirichlet Space and Related Function Spaces Aloud?

The average oral reading speed is 183 words per minute. This means it takes 12 hours and 29 minutes to read The Dirichlet Space and Related Function Spaces aloud.

What Reading Level is The Dirichlet Space and Related Function Spaces?

The Dirichlet Space and Related Function Spaces 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 The Dirichlet Space and Related Function Spaces?

The Dirichlet Space and Related Function Spaces by Nicola Arcozzi is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

To buy The Dirichlet Space and Related Function Spaces by Nicola Arcozzi on Amazon click the button below.