Results overview: Found 3 records in 0.02 seconds.
Articles, 1 records found
Research literature, 2 records found
Articles 1 records found  
1.
48 p, 324.5 KB Discretization and anti-discretization of rearrangement-invariant norms / Gogatishvili, Amiran ; Pick, Lubos
We develop a new method of discretization and anti-discretization of weighted inequalities which we apply to norms in classical Lorentz spaces and to spaces endowed with the so-called Hilbert norm. Main applications of our results include new integral conditions characterizing embeddings Γp(v) → Γq(w) and Γp(v) → Λq(w) and an integral characterization of the associate space to Γp(v), where p, q ∈ (0, ∞), v, w are weights on [0, ∞) and fΛp(v) = ∞ 0 f∗(t) pv(t) dt1/p, fΓp(v) = ∞ 0 f∗∗(t) pv(t) dt1/p.
2003 - 10.5565/PUBLMAT_47203_02
Publicacions matemàtiques, V. 47 N. 2 (2003) , p. 311-358  

Research literature 2 records found  
1.
28 p, 260.1 KB Reduction theorems for operators on the cones of monotone functions / Gogatishvili, A. ; Stepanov, V. D. (Vladimir Dmitrievich) ; Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica
For a quasilinear operator on the semiaxis a reduction theorem is proved on the cones of monotone functions in Lp - Lq setting for 0 < q < ∞, 1<= p < ∞. The case 0 < p < 1 is also studied for operators with additional properties. [...]
Centre de Recerca Matemàtica 2011 (Prepublicacions del Centre de Recerca Matemàtica ; 1067)  
2.
21 p, 247.2 KB New pre-dual space of Morrey space / Gogatishvili, A. ; Mustafayev, R. Ch. ; Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica
In this paper we give new characterization of the classical Morrey space. Complementary global Morrey-type spaces are introduced. It is proved that for particular values of parameters these spaces give new pre-dual space of the classical Morrey space. [...]
Centre de Recerca Matemàtica 2011 (Prepublicacions del Centre de Recerca Matemàtica ; 1048)  

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1 Gogatishvili, Amiran
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