Weighted norm inequalities, off-diagonal estimates and elliptic operators. Part III: Harmonic analysis of elliptic operators [PDF]
, 2006 Third of series of 4 papers.International audienceThis is the third part of a series of four articles on weighted norm inequalities, off-diagonal estimates and elliptic operators.
Auscher, Pascal, Martell, José Maria
core +3 more sources
The weak (1,1) boundedness of Fourier integral operators with complex phases
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract Let T$T$ be a Fourier integral operator of order −(n−1)/2$-(n-1)/2$ associated with a canonical relation locally parametrised by a real‐phase function. A fundamental result due to Seeger, Sogge and Stein proved in the 90's gives the boundedness of T$T$ from the Hardy space H1$H^1$ into L1$L^1$. Additionally, it was shown by T.
Duván Cardona, Michael Ruzhansky
wiley +1 more source
Calderón-Zygmund operators related to Jacobi expansions [PDF]
, 2012 We study several fundamental operators in harmonic analysis related to Jacobi expansions, including Riesz transforms, imaginary powers of the Jacobi operator, the Jacobi-Poisson semigroup maximal operator and Littlewood-Paley-Stein square functions.
Nowak, Adam, +4 more
core +1 more source
Characterization of Besov spaces with dominating mixed smoothness by differences
Mathematische Nachrichten, Volume 298, Issue 7, Page 2116-2151, July 2025.Abstract Besov spaces with dominating mixed smoothness, on the product of the real line and the torus as well as bounded domains, are studied. A characterization of these function spaces in terms of differences is provided. Applications to random fields, like Gaussian fields and the stochastic heat equation, are discussed, based on a Kolmogorov ...
Paul Nikolaev +2 more
wiley +1 more source
Advances on the Links Between Turbulent and Submeso‐ to Mesoscales During EUREC4A
Earth and Space Science, Volume 12, Issue 2, February 2025.Abstract Turbulent processes in the atmospheric boundary layer (ABL) are parameterized in numerical weather prediction and climate models. Better understanding their modulation by larger‐scale organized structures, some of them being represented explicitly, is thus of great interest.
E. Gauvrit +3 more
wiley +1 more source
Weak- and strong-type inequality for the cone-like maximal operator in variable Lebesgue spaces [PDF]
, 2016 summary:The classical Hardy-Littlewood maximal operator is bounded not only on the classical Lebesgue spaces $L_{p}(\mathbb {R}^d)$ (in the case $p >1$), but (in the case when $1/p(\cdot )$ is log-Hölder continuous and $p_{-} = \inf \{ p(x) \colon x \in \
Szarvas, Kristóf, Weisz, Ferenc
core +1 more source
On the regularity of bilinear maximal operator [PDF]
, 2023 summary:We study the regularity properties of bilinear maximal operator. Some new bounds and continuity for the above operators are established on the Sobolev spaces, Triebel-Lizorkin spaces and Besov spaces.
Wang, Guoru, Liu, Feng
core +1 more source
Persistence of the solution to the Euler equations in an end‐point critical Triebel–Lizorkin space
Mathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 2421-2433, 30 January 2025.Local stay of the solutions to the Euler equations for an ideal incompressible fluid in the end‐point Triebel–Lizorkin space F1,∞sℝd$$ {F}_{1,\infty}^s\left({\mathbb{R}}^d\right) $$ with s≥d+1$$ s\ge d+1 $$ is clarified.
JunSeok Hwang, Hee Chul Pak
wiley +1 more source
Sobolev embeddings for Riesz potentials of functions in grand Morrey spaces of variable exponents over non-doubling measure spaces [PDF]
, 2014 summary:Our aim in this paper is to deal with the boundedness of the Hardy-Littlewood maximal operator on grand Morrey spaces of variable exponents over non-doubling measure spaces.
Ohno, Takao, Shimomura, Tetsu
core +1 more source
Boundary Strichartz estimates and pointwise convergence for orthonormal systems
Transactions of the London Mathematical Society, Volume 11, Issue 1, December 2024.Abstract We consider maximal estimates associated with fermionic systems. Firstly, we establish maximal estimates with respect to the spatial variable. These estimates are certain boundary cases of the many‐body Strichartz estimates pioneered by Frank, Lewin, Lieb and Seiringer.
Neal Bez +2 more
wiley +1 more source