Results 1 to 10 of about 27 (27)

Regularity estimates for fractional orthotropic p-Laplacians of mixed order

Advances in Nonlinear Analysis, 2022
We study robust regularity estimates for a class of nonlinear integro-differential operators with anisotropic and singular kernels. In this paper, we prove a Sobolev-type inequality, a weak Harnack inequality, and a local Hölder estimate.
Chaker Jamil, Kim Minhyun
doaj   +1 more source

Growth of hypercyclic entire functions for some non-convolution operators

Concrete Operators, 2023
A continuous linear operator TT defined on a Fréchet space XX is said to be hypercyclic if there exists f∈Xf\in X such that, the orbit {Tnf}\left\{{T}^{n}f\right\} is dense in XX. In this article, we consider the operators introduced by Aron and Markose,
Romero de la Rosa María Pilar
doaj   +1 more source

Embeddings of harmonic mixed norm spaces on smoothly bounded domains in ℝn

Open Mathematics, 2019
The main result of this paper is the ...
Arsenović Miloš, Jovanović Tanja
doaj   +1 more source

One-side Liouville theorems under an exponential growth condition for Kolmogorov operators

Analysis and Geometry in Metric Spaces
It is known that for a possibly degenerate hypoelliptic Ornstein-Uhlenbeck (OU) operator L=12tr(QD2)+⟨Ax,D⟩=12div(QD)+⟨Ax,D⟩,x∈RN,L=\frac{1}{2}\hspace{0.1em}\text{tr}\hspace{0.1em}\left(Q{D}^{2})+\langle Ax,D\rangle =\frac{1}{2}\hspace{0.1em}\text{div ...
Priola Enrico
doaj   +1 more source

Subharmonic functions and associated measures in ℝn

Open Mathematics
For subharmonic functions ss in Rn,n≥2,{{\mathbb{R}}}^{n},n\ge 2, there is an associated Radon measure μ\mu that is used to represent ss locally as an integral up to an additive harmonic function. We prove that the total measure μ(R2)\mu ({{\mathbb{R}}}^
Bajunaid Ibtesam
doaj   +1 more source

Inequalities for Green's operator applied to the minimizers

Journal of Inequalities and Applications, 2011
In this paper, we prove both the local and global Lφ -norm inequalities for Green's operator applied to minimizers for functionals defined on differential forms in Lφ -averaging domains.
Ding Shusen, Agarwal Ravi
doaj  

Generalization of weierstrass canonical integrals

Open Mathematics, 2004
Veselovska Olga
doaj   +1 more source

Harmonic measure on locally flat domains

Duke Mathematical Journal, 1997
CARLOS Kenig, Tatiana Toro
exaly  

Spherical rearrangements, subharmonic functions, and ∗-functions in n-space

Duke Mathematical Journal, 1976
Albert Baernstein
exaly  

Representation of $\alpha$-harmonic functions in Lipschitz domains

Hiroshima Mathematical Journal, 1999
Krzysztof Bogdan
exaly