
In this paper we prove maximal regularity estimates in "square function spaces" which are commonly used in harmonic analysis, spectral theory, and stochastic analysis. In particular, they lead to a new class of maximal regularity results for both deterministic and stochastic equations in $L^p$-spaces with $1
To appear in Journal of Evolution Equations
Mathematics - Functional Analysis, Mathematics - Analysis of PDEs, 35R60 (Primary), 35B45, 35B65, 35D10, 35K22, 46B09, 47D06, 47A60, 60H15 (Secondary), Probability (math.PR), FOS: Mathematics, Mathematics - Probability, Functional Analysis (math.FA), Analysis of PDEs (math.AP)
Mathematics - Functional Analysis, Mathematics - Analysis of PDEs, 35R60 (Primary), 35B45, 35B65, 35D10, 35K22, 46B09, 47D06, 47A60, 60H15 (Secondary), Probability (math.PR), FOS: Mathematics, Mathematics - Probability, Functional Analysis (math.FA), Analysis of PDEs (math.AP)
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