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Article
Approximation of the Fractional Schrödinger Propagator on Compact Manifolds
Let £ be a second order positive, elliptic differential operator that is self-adjoint with respect to some C∞ density dx on a compact connected manifold ...
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Article
Multilinear fractional Hausdorff operators
In this paper, by introducing the space with weak mixed norms, weak type estimates of two kinds of multilinear fractional Hausdorff operators {ie1407-1} and {ie1407-2} on Lebesgue spaces are shown. By virtue o...
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Article
Hausdorff operators on Euclidean spaces
Hausdorff operator is an important operator raised from the dilation on Euclidean space and rooted in the classical summability of number series and Fourier series. It is also connected to many well known oper...
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Article
Multilinear Hausdorff operators and their best constants
In this paper, we study two different extensions of the Hausdorff operator to the multilinear case. Boundedness on Lebesgue spaces and Herz spaces is obtained. The bound on the Lebesgue space is optimal. Our r...
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Article
Boundedness of Hausdorff operators on some product Hardy type spaces
We study Hausdorff operators on the product Besov space B 1 0,1 (ℝ n × ℝ m ...
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Article
L p bounds for singular integrals with rough kernels on product domains
This paper is concerned with singular integral operators on product domains with rough kernels both along radial direction and on spherical surface. Some rather weaker size conditions, which imply the L ...
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Article
Boundedness of an oscillating multiplier on Triebel-Lizorkin spaces
In this paper, we study Triebel-Lizorkin space estimates for an oscillating multiplier m Ω,α,β . This operator was initially studied by Wainger and by Fefferman-Ste...
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Article
Sharp L 2 boundedness of the oscillatory hyper-Hilbert transform along curves
Consider the oscillatory hyper-Hilbert transform $$ H_{n,\alpha ,\beta } f(x) = \int_0^1 {f(x - \Gamma (t))e^{it^{ - \beta } } t^{ - 1...
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Article
Oscillatory hyper Hilbert transforms along curves
The hyper Hilbert transform % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfKttLearuqr1ngBPrgarmWu51MyVXgatC % vAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wz % ZbItLDhis9wBH5garqqtubsr4rN...
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Article
Some Maximal Operators Related to Families of Singular Integral Operators
In this paper, we shall study L p -boundedness of two kinds of maximal operators related to some families of singular integrals.
