Bi-parameter embedding and measures with restricted energy conditions
| Autor: | Pavel Mozolyako, Alexander Volberg, Nicola Arcozzi, Irina Holmes |
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| Přispěvatelé: | Arcozzi N., Holmes I., Mozolyako P., Volberg A. |
| Rok vydání: | 2019 |
| Předmět: |
Discrete mathematics
General Mathematics 010102 general mathematics Bi-parameter potential theory Holomorphic Hilbert Function Space Function (mathematics) 01 natural sciences Simple (abstract algebra) 0103 physical sciences Embedding 010307 mathematical physics Tree (set theory) 0101 mathematics Carleson measures Energy (signal processing) Mathematics |
| Zdroj: | Mathematische Annalen. 377:643-674 |
| ISSN: | 1432-1807 0025-5831 |
| Popis: | Nicola Arcozzi, Pavel Mozolyako, Karl-Mikael Perfekt, and Giulia Sarfatti recently gave the proof of a bi-parameter Carleson embedding theorem. Their proof uses heavily the notion of capacity on the bi-tree. In this note we give another proof of a bi-parameter Carleson embedding theorem that avoids the use of bi-tree capacity. Unlike the proof on a simple tree in a previous paper of the authors (Arcozzi et al. in Bellman function sitting on a tree, arXiv:1809.03397, 2018), which used the Bellman function technique, the proof here is based on some rather subtle comparisons of energies of measures on the bi-tree. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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