Results 1 to 10 of about 34 (31)
Inequalities for Green's operator applied to the minimizers [PDF]
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 +2 more sources
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
On harmonic functions on trees [PDF]
, 2001 46 pages, no figures.-- MSC2000 codes: 28A80, 31B05, 31B25.MR#: MR1837265 (2002h:31011)Zbl#: Zbl 1008.31006We study the asymptotic behaviour of harmonic and p-harmonic functions ...
Pestana, Domingo +3 more
core +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
Two spaces of generalized functions based on harmonic polynomials
, 1985 Two spaces of generalized functions on the unit sphere Ωq−1 ⊂ ℝq are introduced. Both types of generalized functions can be identified with suitable classes of harmonic functions. They are projective and inductive limits of Hilbert spaces.
Graaf, J Jan de, Graaf, de, J.
core +2 more sources
One-side Liouville theorems under an exponential growth condition for Kolmogorov operators
Analysis and Geometry in Metric SpacesIt 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 MathematicsFor 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
Volume mean operator and differentiation results associated to root systems
, 2017 Let R be a root system in R d with Coxeter-Weyl group W and let k be a non-negative multiplicity function on R. The generalized volume mean of a function f ∈ L 1 loc (R d , m k), with m k the measure given by dm k (x) := ω k (x)dx := ∏ α∈R | ⟨α, x⟩ | k(α)
Rejeb, Chaabane
core +1 more source
, 2004 unavailable at this time...Mathematics Subject Classification (2000): Primary 31B05; Secondary 47A16 Quaestiones Mathematicae 25 (2002), 527 ...
Bonilla, A
core