Download E-books Invariant Potential Theory in the Unit Ball of Cn (London Mathematical Society Lecture Note Series) PDF

By Manfred Stoll

This monograph covers Poisson-Szegö integrals at the ball, the Green's functionality for ^D*D and the Riesz decomposition theorem for invariant subharmonic services. The extension to the ball of the classical Fatou theorem on non-tangible limits of Poisson integrals, and Littlewood's theorem at the lifestyles of radial limits of subharmonic capabilities are coated intimately. It additionally comprises contemporary effects on admissible and tangential boundary limits of eco-friendly potentials, and Lp inequalities for the invariant gradient of vegetables potentials. functions of a few of the implications to Hp areas, and weighted Bergman and Dirichlet areas of invariant harmonic capabilities are incorporated.

Show description

Read Online or Download Invariant Potential Theory in the Unit Ball of Cn (London Mathematical Society Lecture Note Series) PDF

Best Abstract books

Lectures in Abstract Algebra, Part 3: Theory of Fields and Galois Theory (Graduate Texts in Mathematics 32)

The current quantity completes the sequence of texts on algebra which the writer started greater than ten years in the past. The account of box conception and Galois thought which we provide this is in line with the notions and result of common algebra which seem in our first quantity and at the extra straight forward elements of the second one quantity, facing linear algebra.

Measure and Category: A Survey of the Analogies between Topological and Measure Spaces (Graduate Texts in Mathematics)

During this variation, a collection of Supplementary Notes and feedback has been further on the finish, grouped based on bankruptcy. a few of these name realization to next advancements, others upload extra rationalization or extra feedback. lots of the feedback are followed by way of a in short indicated evidence, that is occasionally diverse from the single given within the reference mentioned.

Cohomology of Groups (Graduate Texts in Mathematics, No. 87)

Aimed toward moment yr graduate scholars, this article introduces them to cohomology thought (involving a wealthy interaction among algebra and topology) with at the very least necessities. No homological algebra is thought past what's in general realized in a primary direction in algebraic topology, and the fundamentals of the topic, in addition to workouts, are given ahead of dialogue of extra really good themes.

Permutation Groups (Graduate Texts in Mathematics)

Following the elemental principles, common structures and demanding examples within the conception of permutation teams, the ebook is going directly to enhance the combinatorial and team theoretic constitution of primitive teams resulting in the facts of the pivotal ONan-Scott Theorem which hyperlinks finite primitive teams with finite basic teams.

Additional resources for Invariant Potential Theory in the Unit Ball of Cn (London Mathematical Society Lecture Note Series)

Show sample text content

Rated 4.78 of 5 – based on 35 votes