Degrees of maps and multiscale geometry
We study the degree of an L-Lipschitz map between Riemannian manifolds, proving new upper bounds and constructing new examples. For instance, if $X_k$ is the connected sum of k copies of $\mathbb CP^2$ for $k \ge 4$ , then we prove ...
Aleksandr Berdnikov +2 more
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Maximal function on generalized Lebesgue spaces $L^{p(\cdot)}$
L. Diening
semanticscholar +1 more source
Some inequalities for Cesàro means of double Vilenkin-Fourier series. [PDF]
Tepnadze T, Persson LE.
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
Variation and oscillation for the multilinear singular integrals satisfying Hörmander type conditions. [PDF]
Xia Y.
europepmc +1 more source
Global maximal inequality to a class of oscillatory integrals. [PDF]
Xue Y, Niu Y.
europepmc +1 more source
Higher order Riesz transforms for Hermite expansions. [PDF]
Huang J.
europepmc +1 more source
Sharp maximal and weighted estimates for multilinear iterated commutators of multilinear integrals with generalized kernels. [PDF]
Lin Y, Zhang N.
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Current perspectives on the Halo Conjecture
The Halo Conjecture presents one of the outstanding open problems in the theory of differentiation of integrals. In this paper we discuss the Halo Conjecture and its connections with topics of current interest in harmonic analysis.
Hagelstein Paul
doaj +1 more source
Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel-Lizorkin spaces with variable exponents. [PDF]
Xu J, Zhu J.
europepmc +1 more source

