Results 21 to 30 of about 1,613 (219)

On the closed range problem for composition operators on the Dirichlet space

Concrete Operators, 2019
We characterize closed range composition operators on the Dirichlet space for a particular class of composition symbols. The characterization relies on a result about Fredholm Toeplitz operators with BMO1 symbols, and with Berezin transforms of vanishing
Zorboska Nina
doaj   +1 more source

Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps

Advances in Nonlinear Analysis, 2019
A free homotopy decomposition of any continuous map from a compact Riemannian manifold 𝓜 to a compact Riemannian manifold 𝓝 into a finite number maps belonging to a finite set is constructed, in such a way that the number of maps in this free homotopy ...
Schaftingen Jean Van
doaj   +1 more source

A construction of ergodic BMO functions [PDF]

, 1980
One can explicitly construct unbounded functions having bounded mean oscillation (and in fact vanishing mean oscillation) with respect to any given ergodic measure-preserving transformation of a Lebesgue space.
Karl Petersen
core   +1 more source

On the maximum principle for elliptic operators [PDF]

, 2004
In this paper we obtain some estimates for solutions of second order elliptic equations whose leading coefficients are functions of vanishing mean ...
CAVALIERE, Paola, Loredana Caso, Maria Transirico, CASO, Loredana, TRANSIRICO, Maria, P. Cavaliere   +5 more
core   +1 more source

BMO, VMO and Hankel operators on the Bergman space of strongly pseudoconvex domains [PDF]

, 1992
For bounded strongly pseudoconvex domains D with smooth boundary in Cn, we introduce a kind of “mean oscillation” in terms of the Kobayashi metric. For f ϵ L2(D), it is shown that if f has “bounded mean oscillation on D,” then the Hankel operators Hf and
Li, Huiping
core   +1 more source

Geometric Inequalities and Bounded Mean Oscillation [PDF]

, 2020
In this thesis, we study the space of functions of bounded mean oscillation (BMO) on shapes. We prove the boundedness of important nonlinear operators, such as maximal functions and rearrangements, on this space and analyse how the bounds are affected by
Gibara, Ryan
core  

A weighted Lp-theory for parabolic PDEs with BMO coefficients on C1-domains [PDF]

, 2013
In this paper we present a weighted Lp-theory of second-order parabolic partial differential equations defined on C1 domains. The leading coefficients are assumed to be measurable in time variable and have VMO (vanishing mean oscillation) or small BMO ...
Lee, Kijung, Kim, Kyeong-Hun
core   +1 more source

Hölder regularity for solutions of an ultraparabolic equations in divergence form [PDF]

, 2001
We prove the Holder regularity for the solutions to Kolmogorov Partial Differential Equations in divergence form. The coefficients of the second order part of the operator is assumed in the Vanishing Mean Oscillation ...
RAGUSA M. A., POLIDORO, Sergio
core   +1 more source

Vanishing mean oscillation spaces associated with operators satisfying Davies–Gaffney estimates

Kyoto Journal of Mathematics, 2012
40 pages, Kyoto J. Math. (to appear)
Liang, Yiyu, Yang, Dachun, Yuan, Wen
openaire   +3 more sources

Optimal Hölder Regularity for Discontinuous Sub-Elliptic Systems Structured on Hörmander’s Vector Fields

Axioms
This paper studies discontinuous quasilinear sub-elliptic systems associated with Hörmander’s vector fields under controllable and natural growth conditions.
Dongni Liao, Jialin Wang
doaj   +1 more source