On the Dirichlet problem on Lorentz and Orlicz spaces with applications to Schwarz-Christoffel domains

DOI10.1016/j.jde.2018.04.028zbMath1391.42029OpenAlexW2802926622MaRDI QIDQ1753206

Carmen Ortiz-Caraballo, María Jesús Carro

Publication date: 28 May 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.04.028

zbMATH Keywords

Orlicz spacesMuckenhoupt weightsLorentz spacesYano's extrapolation

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) Harmonic analysis and PDEs (42B37)

Related Items

Optimal behavior of weighted Hardy operators on rearrangement‐invariant spaces ⋮ The Neumann problem in graph Lipschitz domains in the plane

Uses Software

• Schwarz-Christoffel
• SC Toolbox

Cites Work

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• The Schwarz-Christoffel conformal mapping for ``polygons with infinitely many sides
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• New extrapolation estimates
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• Recent developments in the theory of Lorentz spaces and weighted inequalities
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• Integral inequalities with weights for the Hardy maximal function
• On the Poisson integral for Lipschitz and $C^{1}$-domains
• Weighted H p Spaces on Lipschitz Domains
• ENDPOINT MAPPING PROPERTIES OF SPHERICAL MAXIMAL OPERATORS
• Schwarz-Christoffel Mapping
• Lorentz-Shimogaki and Boyd theorems for weighted Lorentz spaces
• A new characterization of the Muckenhoupt $A_p$ weights through an extension of the Lorentz-Shimogaki Theorem
• Weighted Norm Inequalities for the Hardy Maximal Function

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