Maximal functions related to subelliptic operators invariant under an action of a nilpotent Lie group
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Maximal functions related to subelliptic operators invariant under an action of a solvable Lie group
Ewa Damek, Andrzej Hulanicki (1991)
Studia Mathematica
On the domain S_a = {(x,e^b): x ∈ N, b ∈ ℝ, b > a} where N is a simply connected nilpotent Lie group, a certain N-left-invariant, second order, degenerate elliptic operator L is considered. N × {e^a} is the Poisson boundary for L-harmonic functions F, i.e. F is the Poisson integral F(xe^b) = ʃ_N f(xy)dμ^b_a(x), for an f in L^∞(N). The main theorem of the paper asserts that the maximal function M^a f(x) = sup{|ʃf(xy)dμ_a^b(y)| : b > a} is of weak type (1,1).
Maximal functions related to subelliptic operators with polynomially growing coefficients.
Ewa Damek (1995)
Mathematische Zeitschrift
Maximum Principles for Minimal Surfaces and for Surfaces of Continuous Mean Curvature.
Stefan Hildebrandt (1972)
Mathematische Zeitschrift
Mean values and harmonic functions.
W. Hansen, N. Nadirashvili (1993)
Mathematische Annalen
Multipliers of the Vanishing Hardy Classes
Miroslav Pavlović (1992)
Publications de l'Institut Mathématique
Currently displaying 1 – 6 of 6
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