The (weak-L²) Boundedness of The Quadratic Carleson Operator
classification
🧮 math.CA
keywords
carlesonoperatorphasequadraticanalysisapproachboundednessdegree
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We prove that the generalized Carleson operator with polynomial phase function of degree two is of weak type (2,2). For this, we introduce a new approach to the time-frequency analysis of the quadratic phase.
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