Bourgain's K-closedness technique is transferred to semicommutative harmonic analysis via a semicommutative Calderón-Zygmund decomposition, recovering Pisier's Hardy-space result and producing new Sobolev interpolation theorems.
Springer, 2008
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The 3D stochastic EMHD system with fractional dissipation admits local pathwise well-posedness and maximal pathwise solutions via high-order Sobolev estimates and stochastic compactness.
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Bourgain's method for K-closedness in the semicommmutative setting
Bourgain's K-closedness technique is transferred to semicommutative harmonic analysis via a semicommutative Calderón-Zygmund decomposition, recovering Pisier's Hardy-space result and producing new Sobolev interpolation theorems.
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The Three-Dimensional Stochastic EMHD System: Local Well-Posedness and Maximal Pathwise Solutions
The 3D stochastic EMHD system with fractional dissipation admits local pathwise well-posedness and maximal pathwise solutions via high-order Sobolev estimates and stochastic compactness.