Optimal function spaces for the Laplace transform

DOI10.1007/s13163-017-0234-5zbMath1400.46022OpenAlexW2732710459WikidataQ59311780 ScholiaQ59311780MaRDI QIDQ1675690

Luboš Pick, Eva Buriánková, David E. Edmunds

Publication date: 2 November 2017

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13163-017-0234-5

zbMATH Keywords

Laplace transformrearrangement-invariant spacesLorentz spacesoptimal domainoptimal range

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) Linear operators on function spaces (general) (47B38) Interpolation between normed linear spaces (46B70) Other analytical inequalities (26D20)

Related Items (5)

Integrability properties of integral transforms via Morrey spaces ⋮ Optimality problems in Orlicz spaces ⋮ Optimality of function spaces for kernel integral operators ⋮ Boundedness of classical operators on rearrangement-invariant spaces ⋮ The Laplace transform on the rearrangement of invariant spaces

Cites Work

• Unnamed Item
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• On the optimal domain of the Laplace transform
• Optimal domain and integral extension of operators, acting in function spaces
• Banach function spaces and interpolation methods. I: The abstract theory
• The inverse Laplace transform and analytic pseudo-differential operators
• Exact descriptions of some \(K\) and \(E\) functionals
• Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms
• Higher-order Sobolev embeddings and isoperimetric inequalities
• Integral transforms and tensor products on Orlicz spaces and L(p,q) spaces
• The K-functional for rearrangement invariant spaces
• Fourier transform, oscillatory multipliers and evolution equations in rearrangement invariant function spaces
• Estimates for weak-type operators
• Optimal Sobolev imbeddings
• Counterexamples for classical operators on Lorentz-Zygmund spaces
• On the numerical inversion of the Laplace transform and similar Fredholm integral equations of the first kind
• The Constants of Certain Inequalities
• Hardy's inequality with weights
• On Hardy's Inequality and Laplace Transforms in Weighted Rearrangement Invariant Spaces

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