Publication Date:
2017
Short description:
Littlewoodâ Paley Theory for Triangle Buildings / Steger, T.J., Trojan, B.. - In: THE JOURNAL OF GEOMETRIC ANALYSIS. - ISSN 1050-6926. - (2017), pp. 1-29. [10.1007/s12220-017-9856-6]
abstract:
For the natural two-parameter filtration (Formula presented.) on the boundary of a triangle building, we define a maximal function and a square function and show their boundedness on (Formula presented.) for (Formula presented.). At the end, we consider (Formula presented.) boundedness of martingale transforms. If the building is of (Formula presented.), then (Formula presented.) can be identified with p-adic Heisenberg group.
Iris type:
1.1 Articolo in rivista
Keywords:
Affine building; Heisenberg group; LittlewoodâPaley theory; Maximal function; Multi-index filtration; p-adic numbers; Square function; Geometry and Topology
List of contributors:
Steger, Tim Joshua; Trojan, Bartosz
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