The Growth of Hypoelliptic Polynomials and Gevrey Classes

DOI10.2307/2039591zbMath0238.47031OpenAlexW4238169774MaRDI QIDQ5648988

Z. Zielezny, E. Newberger

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/2039591

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) General theory of partial differential operators (47F05)

Related Items (13)

Comparison of iterates of a class of differential operators in Roumieu spaces ⋮ Systems of differential operators in anisotropic Roumieu classes ⋮ Iterates and hypoellipticity of partial differential operators on non-quasianalytic classes ⋮ A characterization of the wave front set defined by the iterates of an operator with constant coefficients ⋮ The theorem of iterates for elliptic and non-elliptic operators ⋮ A simple proof of Kotake-Narasimhan theorem in some classes of ultradifferentiable functions ⋮ Global Gevrey vectors ⋮ Iterates of systems of operators in spaces of $\omega $-ultradifferentiable functions ⋮ Fréchet spaces invariant under differential operators ⋮ Wave front sets with respect to the iterates of an operator with constant coefficients ⋮ P-Funktionale und Randwerte zu hypoelliptischen Differentialoperatoren ⋮ On the functional dimension of solution spaces of hypoelliptic partial differential operators ⋮ The global Kotake-Narasimhan theorem

Cites Work

• Unnamed Item
• On interior regularity of the solutions of partial differential equations
• A characterization of real analytic functions

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