Zobrazeno 1 - 10
of 73 743
pro vyhledávání: '"Odes"'
Autor:
Zhang, Wen Qi
In arXiv:1305.4262 Bousquet and Van Schaftingen derive a duality estimate for a certain class of canceling operators, and as an application prove new multidimensional Hardy inequalities. These methods were generalised by arXiv:1809.08485, arXiv:2012.
Externí odkaz:
http://arxiv.org/abs/2412.09987
Autor:
Guven, Ali
Approximation properties of Ces\`{a}ro and Abel-Poisson means of hexagonal Fourier series are studied. The degree of approximation by these means of hexagonal Fourier series of functions, which are continuous and periodic with respect to the hexagon
Externí odkaz:
http://arxiv.org/abs/2412.09970
Autor:
Zhao, Shuijiang
In this paper, we study the spherical maximal operator $ M_E $ over $ E\subset [1,2]$, restricted to radial functions. In higher dimensions $ d\geq 3$, we establish a complete range of $ L^p-$improving estimates for $ M_E $. In two dimensions, sharp
Externí odkaz:
http://arxiv.org/abs/2412.09882
We prove a symbolic calculus for a class of pseudodifferential operators, and discuss its applications to $L^2$-compactness via a compact version of the $T(1)$ theorem.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
http://arxiv.org/abs/2412.09543
Polynomials known as Multiple Orthogonal Polynomials in a single variable are polynomials that satisfy orthogonality conditions concerning multiple measures and play a significant role in several applications such as Hermite-Pad\'e approximation, ran
Externí odkaz:
http://arxiv.org/abs/2412.09523
For a given set of dilations $E\subset [1,2]$, Lebesgue space mapping properties of the spherical maximal operator with dilations restricted to $E$ are studied when acting on radial functions. In higher dimensions, the type set only depends on the up
Externí odkaz:
http://arxiv.org/abs/2412.09390
We study the operator \[ \partial_t - \text{div} A \nabla + B \cdot \nabla \] in parabolic upper-half-space, where $A$ is an elliptic matrix satisfying an oscillation condition and $B$ is a singular drift with a Carleson control. Our main result esta
Externí odkaz:
http://arxiv.org/abs/2412.09301
Autor:
Nitzan, Shahaf
A.Olevskii and A.Ulanovskii obtained a scale of density results, which correspond to how well an exponential system approximates a uniformly minimal system over a compact set. We extend their result in several directions. First, we show that it holds
Externí odkaz:
http://arxiv.org/abs/2412.08791