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Discrete Bilinear Operators and Commutators
We discuss boundedness properties of certain classes of discrete bilinear operators that are similar to those of the continuous bilinear...
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Bilinear sparse domination for oscillatory integral operators
In this paper, we prove bilinear sparse domination bounds for a wide class of Fourier integral operators of general rank, as well as oscillatory...
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Bilinear Pseudo-differential Operators with Gevrey–Hörmander Symbols
We consider bilinear pseudo-differential operators whose symbols may have a sub-exponential growth at infinity, together with all their derivatives....
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Maximal operators associated with bilinear multipliers of limited decay
Results analogous to those proved by Rubio de Francia [28] are obtained for a class of maximal functions formed by dilations of bilinear multiplier...
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The boundedness of bilinear Fourier multiplier operators in Besov spaces with variable exponents
Using the Littlewood–Paley decomposition technique, Fourier transform and inverse Fourier transform, the boundedness of bilinear Fourier...
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Leibniz-Type Rules for Bilinear Fourier Multiplier Operators with Besov Regularity
We establish the Leibniz-type rules for bilinear Fourier multiplier operators with Besov regularity in Lebesgue spaces and mixed Lebesgue spaces.
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Drift diffusion equations with fractional diffusion on compact Lie groups
In this work we investigate the well-posed for diffusion equations associated to subelliptic pseudo-differential operators on compact Lie groups. The...
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Endpoint sparse domination for classes of multiplier transformations
We prove endpoint results for sparse domination of translation invariant multiscale operators. The results are formulated in terms of dilation...
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Weighted Leibniz-type rules for bilinear flag multipliers
We establish Leibniz type rules for bilinear flag multipliers with limited regularity in the Lebesgue spaces with flag weights. As applications, we...
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Leibniz-Type Rules for Bilinear and Biparameter Fourier Multiplier Operators with Applications
We establish Leibniz-type rules for bilinear and biparameter Fourier multiplier operators with limited Sobolev regularity. Applications of our result...
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Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents
In this paper, we give Leibniz-type estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and...
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Bounds for Multilinear Operators under an Integral Type Condition on Morrey Spaces
In this paper, we study a boundedness property of the Adams type for multilinear fractional integral operators with the multilinear L r ′, α -Hörmander...