On Hardy spaces of local and nonlocal operators

2011/09/01 by Krzysztof Bogdan, Bogdan, Krzysztof, Bartłomiej Dyda +3 · 2 citations
Mathematics · #31B25 #42B30 #60J50 #60J75 #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR) #math.FA #math.PR #msc:31B25 #msc:42B30 #msc:60J50 #msc:60J75

paper · pdf · doi:10.48550/arxiv.1109.0210

23 pages, editorial changes and updated references, to appear in Hiroshima Math. J

arxiv created 2014/01/30 · arxiv updated 2014/01/31

Abstract

We characterize conditional Hardy spaces of the Laplacian and of the fractional Laplacian by using Hardy-Stein type identities.

Cited by

• Nonlinear Hardy-Stein type identities for harmonic functions relative to symmetric integro-differential operators
• Littlewood--Paley estimates for pure-jump Dirichlet forms

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• A remark on nonlocal Neumann conditions for the fractional Laplacian