Hardy's inequalities revisited
Haïm Brezis, Moshe Marcus (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “Hardy and Rellich type inequalities with remainders”
Hardy's inequalities revisited
On Hardy spaces on worm domains
Alessandro Monguzzi (2016)
Concrete Operators
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In this review article we present the problem of studying Hardy spaces and the related Szeg˝o projection on worm domains. We review the importance of the Diederich–Fornæss worm domain as a smooth bounded pseudoconvex domain whose Bergman projection does not preserve Sobolev spaces of sufficiently high order and we highlight which difficulties arise in studying the same problem for the Szeg˝o projection. Finally, we announce and discuss the results we have obtained so far in the setting...
Some integral inequalities of Hardy type
B. Florkiewicz (1980)
Colloquium Mathematicae
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The quasihyperbolic metric, growth, and John domains.
Langmeyer, Navah (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
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Hardy-Poincaré type inequalities derived from p-harmonic problems
Iwona Skrzypczak (2014)
Banach Center Publications
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We apply general Hardy type inequalities, recently obtained by the author. As a consequence we obtain a family of Hardy-Poincaré inequalities with certain constants, contributing to the question about precise constants in such inequalities posed in [3]. We confirm optimality of some constants obtained in [3] and [8]. Furthermore, we give constants for generalized inequalities with the proof of their optimality.
On inequalities of Hardy-Sobolev type.
Balinsky, A., Evans, W.D., Hundertmark, D, Lewis, R.T. (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Refined multidimensional Hardy-type inequalities via superquadracity.
Oguntuase, J.A., Persson, L.-E., Essel, E.K., Popoola, B.A. (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Integral inequalities related to Hardy's inequality.
R.N. Mohapatra, D.C. Russel (1985)
Aequationes mathematicae
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On the structure of Hardy–Sobolev–Maz'ya inequalities
Stathis Filippas, Achilles Tertikas, Jesper Tidblom (2009)
Journal of the European Mathematical Society
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Norm inequalities in weighted amalgam
Suket Kumar (2018)
Commentationes Mathematicae Universitatis Carolinae
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Hardy inequalities for the Hardy-type operators are characterized in the amalgam space which involves Banach function space and sequence space.
New Poincaré inequalities from old.
Buckley, Stephen M., Koskela, Pekka (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
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Boundary behaviour of holomorphic functions in Hardy-Sobolev spaces on convex domains in ℂⁿ
Marco M. Peloso, Hercule Valencourt (2010)
Colloquium Mathematicae
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We study the boundary behaviour of holomorphic functions in the Hardy-Sobolev spaces , where is a smooth, bounded convex domain of finite type in ℂⁿ, by describing the approach regions for such functions. In particular, we extend a phenomenon first discovered by Nagel-Rudin and Shapiro in the case of the unit disk, and later extended by Sueiro to the case of strongly pseudoconvex domains.