Bilinear sparse domination for oscillatory integral operators.
| Autor: | Mattsson, Tobias |
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| Zdroj: | Analysis & Mathematical Physics; Jun2024, Vol. 14 Issue 3, p1-33, 33p |
| Abstrakt: | In this paper, we prove bilinear sparse domination bounds for a wide class of Fourier integral operators of general rank, as well as oscillatory integral operators associated to Hörmander symbol classes S ρ , δ m for all 0 ≤ ρ ≤ 1 and 0 ≤ δ < 1 , a notable example is the Schrödinger operator. As a consequence, one obtains weak (1, 1) estimates, vector-valued estimates, and a wide range of weighted norm inequalities for these classes of operators. [ABSTRACT FROM AUTHOR] |
| Databáze: | Complementary Index |
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