Singular integrals with highly oscillating kernels on product spaces

• Autorzy: Elena Prestini
• Języki publikacji: EN

Abstrakty

EN

We prove the $L^{2}(𝕋^{2})$ boundedness of the oscillatory singular integrals $P_{0} f(x,y)=\int_{D_{x}} {{e^{i(M_2(x)y' + M_1(x)x')}}οver{x'y'}} f(x-x',y-y')dx'dy'$ for arbitrary real-valued $L^{∞}$ functions $M_{1}(x), M_{2}(x)$ and for rather general domains $D_{x} ⊆ 𝕋^{2}$ whose dependence upon x satisfies no regularity assumptions.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2000
• Tom: 86
• Numer: 1
• Strony: 9-13

Daty

wydano

2000

otrzymano

1999-03-19

Twórcy

autor

Elena Prestini

• Dipartimento di Matematica, Università di Roma "Tor Vergata", Via della Ricerca Scientifica, 00133 Roma, Italy

Bibliografia

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