Sharp $$L^{p}$$ L p -boundedness of oscillatory integral operators with polynomial phases
نویسندگان
چکیده
منابع مشابه
Oscillatory Integral Operators with Homogeneous Polynomial Phases in Several Variables
We obtain L decay estimates in λ for oscillatory integral operators Tλ whose phase functions are homogeneous polynomials of degree m and satisfy various genericity assumptions. The decay rates obtained are optimal in the case of (2+2)–dimensions for any m, while in higher dimensions the result is sharp for m sufficiently large. The proof for large m follows from essentially algebraic considerat...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2016
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-016-1800-0