Norm inequalities involving ordinary and Jacobi derivatives

DOI10.1016/0893-9659(93)90091-ZzbMath0797.46023MaRDI QIDQ1312031

Stefan Jansche

Publication date: 10 October 1994

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

Jacobi weightsJacobi derivatives of Sturm-Liouville typenorm inequalities for Jacobi weighted \(L^ p\) 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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) General theory of ordinary differential operators (47E05)

Cites Work

• On interpolation of L//p[a,b and weighted Sobolev spaces]
• Positivity and the convolution structure for Jacobi series
• Banach algebras for Jacobi series and positivity of a kernel
• Approximation processes for fourier-jacobi expansions^†
• A Convolution Structure for Jacobi Series
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