On the Dirichlet problem on Lorentz and Orlicz spaces with applications to Schwarz-Christoffel domains
From MaRDI portal
Publication:1753206
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
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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Schwarz-Christoffel conformal mapping for ``polygons with infinitely many sides
- Extrapolation theory for the real interpolation method.
- New extrapolation estimates
- A note on \(A_p\) weights: Pasting weights and changing variables.
- Endpoint estimates from restricted rearrangement inequalities.
- Conformal mapping onto numerable polygon with double symmetry
- Weighted weak-type \((1, 1)\) estimates via Rubio de Francia extrapolation
- The \(L^p\)-solvability of the Dirichlet problem for planar elliptic equations, sharp results
- Recent developments in the theory of Lorentz spaces and weighted inequalities
- Convergence a.e. of spherical partial Fourier integrals on weighted spaces for radial functions: endpoint estimates
- 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
This page was built for publication: On the Dirichlet problem on Lorentz and Orlicz spaces with applications to Schwarz-Christoffel domains