Bilinear Hilbert transforms along curves I. The monomial case [PDF]
We establish an L^2 \times L^2 to L^1 estimate for the bilinear Hilbert transform along a curve defined by a monomial. Our proof is closely related to multi-linear oscillatory integrals.
arxiv
Mixed radial-angular integrabilities for Hausdorff type operators [PDF]
This paper is devoted to studying some mixed radial-angular integrabilities for various types of Hausdorff operators and ...
arxiv
Estimates for differential operators of vector analysis involving $L^1$-norm [PDF]
New Hardy and Sobolev type inequalities involving $L^1$-norms of scalar and vector-valued functions in $\Bbb{R}^n$ are obtained.
arxiv
Bloom-type two-weight inequalities for commutators of maximal functions
We study Bloom-type two-weight inequalities for commutators of the Hardy-Littlewood maximal function and sharp maximal function. Some necessary and sufficient conditions are given to characterize the two-weight inequalities for such commutators.
Zhang Pu, Fan Di
doaj +1 more source
Parametric Fourier and Mellin transforms of power-constructible functions
We enrich the class of power-constructible functions, introduced in [CCRS23], to a class $\mathcal {C}^{\mathcal {M,F}}$ of algebras of functions which contains all complex powers of subanalytic functions and their parametric Mellin and Fourier ...
Raf Cluckers+2 more
doaj +1 more source
Boundedness of a class of rough maximal functions. [PDF]
Ali M, Al-Mohammed O.
europepmc +1 more source
Oscillation and variation inequalities for the multilinear singular integrals related to Lipschitz functions. [PDF]
Hu Y, Wang Y.
europepmc +1 more source
Weighted norm inequalities for multilinear Calderón-Zygmund operators in generalized Morrey spaces. [PDF]
Wang P, Liu Z.
europepmc +1 more source
Lipschitz estimates for commutators of singular integral operators associated with the sections. [PDF]
Wang G, Zhou J.
europepmc +1 more source
Variation and oscillation for the multilinear singular integrals satisfying Hörmander type conditions. [PDF]
Xia Y.
europepmc +1 more source