Functions of a second order elliptic operator in rearrangement invariant spaces

DOI10.1007/BF01203387zbMath0837.46022MaRDI QIDQ1898019

E. I. Pustyl'nik

Publication date: 13 May 1996

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

integral operatorsrearrangement invariant spacessecond-order elliptic operatorsecond-order elliptic operatorsabsolutely concavefunctional calculus of positive operatorsLorentz, Marcinkiewicz and Orlicz spaces

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) Linear operators on function spaces (general) (47B38) Elliptic equations and elliptic systems (35J99)

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Cites Work

• Unnamed Item
• On the equivalence of Green functions of second order elliptic equations in \(\mathbb{R}^ n\)
• On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
• Estimation of the position of intermediate spaces for a Banach couple

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