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Maximal $${\gamma}$$ γ -regularity

Maximal $${\gamma}$$ γ -regularity 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 $${1 < p < {\infty} }$$ 1 < p < ∞ . For stochastic equations, the case 1 < p < 2 was not covered in the literature so far. Moreover, the “square function spaces” allow initial values with the same roughness as in the L 2 -setting. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Evolution Equations Springer Journals

Maximal $${\gamma}$$ γ -regularity

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References (89)

Publisher
Springer Journals
Copyright
Copyright © 2015 by Springer Basel
Subject
Mathematics; Analysis
ISSN
1424-3199
eISSN
1424-3202
DOI
10.1007/s00028-014-0264-0
Publisher site
See Article on Publisher Site

Abstract

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 $${1 < p < {\infty} }$$ 1 < p < ∞ . For stochastic equations, the case 1 < p < 2 was not covered in the literature so far. Moreover, the “square function spaces” allow initial values with the same roughness as in the L 2 -setting.

Journal

Journal of Evolution EquationsSpringer Journals

Published: Jun 1, 2015

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