Lidskii-type formulae for Dixmier traces [PDF]
We establish several analogues of the classical Lidskii Theorem for some special classes of singular traces (Dixmier traces and Connes-Dixmier traces) used in noncommutative geometry.
arxiv
Sobolev inequalities, rearrangements, isoperimetry and interpolation spaces [PDF]
We characterize Poincar\'{e} inequalities in metric spaces using rearrangement ...
arxiv
Commutators of multilinear fractional maximal operators with Lipschitz functions on Morrey spaces
In this work, we present necessary and sufficient conditions for the boundedness of the commutators generated by multilinear fractional maximal operators on the products of Morrey spaces when the symbol belongs to Lipschitz spaces.
Zhang Pu, Ağcayazı Müjdat
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Anisotropic adams’ type inequality with exact growth in R4 ${\mathbb{R}}^{4}$
In this paper, we mainly extend the classical Adams’ inequality to its anisotropic type. By using the rearrangement argument, we establish best constants for anisotropic Adams’ type inequality with exact growth in R4 ${\mathbb{R}}^{4}$ .
Zhang Tao+3 more
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Abstract Korovkin-type theorems in modular spaces and applications
Bardaro Carlo+3 more
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The essential norm of bounded diagonal infinite matrices acting on Banach sequence spaces
We calculate the essential norm of bounded diagonal infinite matrices acting on Köthe sequence spaces. As a consequence of our result, we obtain a recent criteria for the compactness of multiplication operator acting on Köthe sequence spaces.
Fernández Julio C. Ramos+2 more
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Dichotomies for Lorentz spaces
Głąb Szymon, Strobin Filip, Yang Chan
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Composition operators on W 1 X are necessarily induced by quasiconformal mappings
Kleprlík Luděk
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On some properties of the functions from Sobolev-Morrey type spaces
Najafov Alik
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Note on the concentration-compactness principle for generalized Moser-Trudinger inequalities
Černý Robert
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