Hardy spaces and potential theory on C[superscript 1] domains in Riemannian manifolds / Martin Dindoš.

Format:

Book

Author/Creator:

Dindoš, Martin, author.

Series:

Memoirs of the American Mathematical Society ; no. 894.

Memoirs of the American Mathematical Society, 0065-9266 ; number 894

Language:

English

Subjects (All):

Hardy spaces.

Riemannian manifolds.

Potential theory (Mathematics).

Physical Description:

1 online resource (92 p.)

Edition:

1st ed.

Other Title:

Hardy spaces and potential theory on C1 domains in Riemannian manifolds

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2008]

Language Note:

English

Summary:

Studies Hardy spaces on $C DEGREES1$ and Lipschitz domains in Riemannian manifolds. The author establishes this theorem in any dimension if the domain is $C DEGREES1$, in case of a Lipschitz domain the result holds if dim $M\le 3$. The remaining cases for Lipschitz domain

Contents:

""Contents""; ""Abstract""; ""Chapter 0. Introduction""; ""Chapter 1. Background and Definitions""; ""Â1.1. Notation, terminology and known results""; ""Â1.2. Hardy spaces and layer potentials""; ""Chapter 2. The Boundary Layer Potentials""; ""Â2.1. Compactness of operators K, K*""; ""Â2.2. Invertibility of ±1/2+ K, ±1/2 + K*""; ""Chapter 3. The Dirichlet problem""; ""Â3.1. L[sup(p)] boundary data""; ""Â3.2. Hardy space boundary data""; ""Â3.3. Holder space boundary data""; ""Chapter 4. The Neumann problem""; ""Â4.1. L[sup(p)] boundary data""; ""Â4.2. Hardy space boundary data""

""Â6.3. The main step""""Â6.4. The equivalence theorem on C[sup(1)] domains""; ""Â6.5. The equivalence theorem on Lipschitz domains""; ""Appendix A. Variable Coefficient Cauchy Integrals""; ""Appendix B. One Result on the Maximal Operator""; ""Bibliography""

Notes:

"Volume 191, number 894 (fourth of 5 numbers)."

Includes bibliographical references (pages 77-78).

Description based on print version record.

ISBN:

1-4704-0500-8