Maximal $${\gamma}$$ γ -regularity
Copyright policy )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
To appear in Journal of Evolution Equations
- Delft University of Technology Netherlands
Abstract parabolic equations, 35R60 (Primary), 35B45, 35B65, 35D10, 35K22, 46B09, 47D06, 47A60, 60H15 (Secondary), \(\gamma\)-spaces, evolution equations, Smoothness and regularity of solutions to PDEs, maximal regularity, Probability (math.PR), Applications of stochastic analysis (to PDEs, etc.), \(H^\infty\)-functional calculus, Functional Analysis (math.FA), Mathematics - Functional Analysis, Mathematics - Analysis of PDEs, FOS: Mathematics, PDEs with randomness, stochastic partial differential equations, \(\gamma\)-boundedness, Mathematics - Probability, stochastic convolution, Analysis of PDEs (math.AP)
Abstract parabolic equations, 35R60 (Primary), 35B45, 35B65, 35D10, 35K22, 46B09, 47D06, 47A60, 60H15 (Secondary), \(\gamma\)-spaces, evolution equations, Smoothness and regularity of solutions to PDEs, maximal regularity, Probability (math.PR), Applications of stochastic analysis (to PDEs, etc.), \(H^\infty\)-functional calculus, Functional Analysis (math.FA), Mathematics - Functional Analysis, Mathematics - Analysis of PDEs, FOS: Mathematics, PDEs with randomness, stochastic partial differential equations, \(\gamma\)-boundedness, Mathematics - Probability, stochastic convolution, Analysis of PDEs (math.AP)
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