Polar factorization and pseudo-rearrangements: applications to Pólya-Szegö type inequalities
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Publication:1395834
DOI10.1016/S0362-546X(03)00025-7zbMath1023.46030MaRDI QIDQ1395834
Roberta Volpicelli, Adele Ferone
Publication date: 1 July 2003
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Measure-preserving transformations (28D05) Representation and superposition of functions (26B40)
Related Items (4)
Estimates for solutions to nonlinear degenerate elliptic equations with lower order terms ⋮ On Hardy inequalities with a remainder term ⋮ Sobolev type inequalities for rearrangement invariant spaces ⋮ A note on decreasing rearrangement and mean oscillation on measure spaces
Cites Work
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- Symmetrisierung für Funktionen mehrerer reeller Variablen
- An integral formula for total gradient variation
- Rearrangements and convexity of level sets in PDE
- Directional derivative of the increasing rearrangement mapping and application to a queer differential equation in plasma physics
- A differentiability result for the relative rearrangement
- Best constant in Sobolev inequality
- Symmetrization of functions in Sobolev spaces and the isoperimetric inequality
- Sulle migliori costanti di maggiorazione per una classe di equazioni ellittiche degeneri
- Some properties of the relative rearrangement
- Weighted Dirichlet-type inequalities for Steiner symmetrization
- Convex symmetrization and applications
- Sobolev embeddings into BMO, VMO, and \(L_{\infty}\)
- Some relations between pseudo-rearrangement and relative rearrangement
- An elementary proof of the polar factorization of vector-valued functions
- A co-area formula with applications to monotone rearrangement and to regularity
- Zur Symmetrisierung von Funktionen auf Sphären
- Minimal rearrangements of Sobolev functions: A new proof.
- Existence and uniqueness of monotone measure-preserving maps
- A weighted isoperimetric inequality and applications to symmetrization
- Measure preserving transformations and rearrangements
- Su una teoria generale della misura \((r-1)\)-dimensionale in uno spazio ad \(r\) dimensioni
- General pointwise relations for the relative rearrangement and applications
- Strict inequalities for integrals of decreasingly rearranged functions
- On optimization problems with prescribed rearrangements
- Polar factorization and monotone rearrangement of vector‐valued functions
- A General Integral Inequality for the Derivative of an Equimeasurable Rearrangement
- Symmetric Decreasing Rearrangement Is Sometimes Continuous
- Rearrangements and polar factorisation of countably degenerate functions
- Extreme Points of Some Convex Subsets of L 1 (0, 1)
- Isoperimetric Inequalities in Mathematical Physics. (AM-27)
- Rearrangeable functions on the real line
- Measure-preserving maps on \(\mathbb R^n\)
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