Variational Carleson embeddings into the upper 3-space
Classical Analysis and ODEs
2016-10-26 v1
Abstract
In this paper we formulate embedding maps into time-frequency space related to the Carleson operator and its variational counterpart. We prove bounds for these embedding maps by iterating the outer measure theory of [DT15]. Introducing iterated outer spaces is a main novelty of this paper. [DT15] Yen Do and Christoph Thiele. " theory for outer measures and two themes of Lennart Carleson united". In: Bulletin of the American Mathematical Society 52.2 (2015), pp. 249-296.
Cite
@article{arxiv.1610.07657,
title = {Variational Carleson embeddings into the upper 3-space},
author = {Gennady Uraltsev},
journal= {arXiv preprint arXiv:1610.07657},
year = {2016}
}
Comments
34 pages, 2 figures