Hardy spaces and potential theory on C¹ domains in Riemannian manifolds / Martin Dindoš Dindoš, Martin

User activity

Send to:
View the summary of this work
Author
Dindoš, Martin
Subjects
Hardy spaces.; Potential theory (Mathematics); Riemannian manifolds.
Contents
  • Machine derived contents note: Abstract vi
  • Chapter 0. Introduction 1
  • Chapter 1. Background and Definitions 4
  • ?1. Notation, terminology and known results 4
  • ?2. Hardy spaces and layer potentials 6
  • Chapter 2. The Boundary Layer Potentials 9
  • ?1. Compactness of operators K, K 9
  • ?2. Invertibility of +? + K, +I1 + K 19
  • Chapter 3. The Dirichlet problem 21
  • ?1. Lp boundary data 21
  • ?2. Hardy space boundary data 23
  • ?3. Holder space boundary data 25
  • Chapter 4. The Neumann problem 27
  • ?1. LP boundary data 27
  • ?2. Hardy space boundary data 27
  • ?3. Holder space boundary data 29
  • Chapter 5. Compactness of Layer Potentials, Part II; The Dirichlet regu-
  • larity problem 31
  • ?1. Preliminaries 31
  • ?2. Compactness and invertibility of K on Sobolev space HI'" 33
  • ?3. Compactness and invertibility of K on Hardy-Sobolev space H1,p 38
  • ?4. Dirichlet regularity problem, Sobolev HI'p (1 < p < co) data 41
  • ?5. Dirichlet regularity problem, H1'p ((n - 1)/n < p < 1) data 42
  • Chapter 6. The equivalence of Hardy space definitions 44
  • ?1. Preliminaries 44
  • ?2. C-suharmonicity 45
  • ?3. The main step 47
  • ?4. The equivalence theorem on C' domains 50
  • ?5. The equivalence theorem on Lipschitz domains 51
  • APPENDIX A. Variable Coefficient Cauchy Integrals 53
  • APPENDIX B. One Result on the Maximal Operator 65
  • Bibliography 77.
Bookmark
http://trove.nla.gov.au/work/8370894
Work ID
8370894

2 editions of this work

Find a specific edition
Thumbnail [View as table] [View as grid] Title, Author, Edition Date Language Format Libraries

User activity


e.g. test cricket, Perth (WA), "Parkes, Henry"

Separate different tags with a comma. To include a comma in your tag, surround the tag with double quotes.

Be the first to add a tag for this work

Be the first to add this to a list

Comments and reviews

What are comments? Add a comment

No user comments or reviews for this work

Add a comment


Show comments and reviews from Amazon users