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Singular integrals with highly oscillating kernels on the product domains

100%

Chen L.-K.

Colloquium Mathematicum

1993

tom 64

nr 2

293-302

Oscillatory kernels in certain Hardy-type spaces

63%

Chen L.-K., Fan D.

Studia Mathematica

1994

tom 111

nr 2

195-206

We consider a convolution operator Tf = p.v. Ω ⁎ f with $Ω(x) = K(x)e^{ih(x)}$, where K(x) is an (n,β) kernel near the origin and an (α,β), α ≥ n, kernel away from the origin; h(x) is a real-valued $C^∞$ function on $ℝ^n ∖ {0}$. We give a criterion for such an operator to be bounded from the space $H^{p}_{0}(ℝ^n)$ into itself.

On a singular integral

26%

Chen L.-K.

Studia Mathematica

1987

tom 85

nr 1

61-72

Ograniczanie wyników

2 Studia Mathematica

1 Colloquium Mathematicum

3 Chen L.-K.

1 Fan D.

1 1994

1 1993

1 1987

Wyniki wyszukiwania

Singular integrals with highly oscillating kernels on the product domains

Oscillatory kernels in certain Hardy-type spaces

On a singular integral