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Modular functionals and perturbations of Nakano spaces [PDF]
, 2008 We settle several questions regarding the model theory of Nakano spaces left open by the PhD thesis of Pedro Poitevin (11). We start by studying isometric Banach lattice embeddings of Nakano spaces, showing that in dimension two and above such embeddings
I. Yaacov
semanticscholar +1 more source
Commutators of fractional integrals on martingale Morrey spaces
Mathematical Inequalities & Applications, 2019 On martingale Morrey spaces we give necessary and sufficient conditions for the boundedness and compactness of the commutator generated by the fractional integral and a function in the martingale Campanato space.
E. Nakai, Gaku Sadasue
semanticscholar +1 more source
A criterion of weak compactness for operators on subspaces of Orlicz spaces
Journal of Function Spaces, Volume 6, Issue 3, Page 277-292, 2008., 2008 We give a criterion of weak compactness for the operators on the Morse‐Transue space MΨ, the subspace of the Orlicz space LΨ generated by L∞.
Pascal Lefèvre +4 more
wiley +1 more source
On the trace space of a Sobolev space with a radial weight
Journal of Function Spaces, Volume 6, Issue 3, Page 259-276, 2008., 2008 Our concern in this paper lies with trace spaces for weighted Sobolev spaces, when the weight is a power of the distance to a point at the boundary. For a large range of powers we give a full description of the trace space.
Helmut Abels +3 more
wiley +1 more source
New classes of rearrangement‐invariant spaces appearing in extreme cases of weak interpolation
Journal of Function Spaces, Volume 4, Issue 3, Page 275-304, 2006., 2006 We study weak type interpolation for ultrasymmetric spaces L?,E i.e., having the norm ??(t)f*(t)?E˜, where ?(t) is any quasiconcave function and E˜ is arbitrary rearrangement‐invariant space with respect to the measure d t /t. When spaces L?,E are not “too close” to the endpoint spaces of interpolation (in the sense of Boyd), the optimal interpolation ...
Evgeniy Pustylnik +2 more
wiley +1 more source
Non‐equivalent greedy and almost greedy bases in lp
Journal of Function Spaces, Volume 4, Issue 1, Page 25-42, 2006., 2006 For 1 < p < 8 and p ? 2 we construct a family of mutually non‐equivalent greedy bases in lp having the cardinality of the continuum. In fact, no basis from this family is equivalent to a rearranged subsequence of any other basis thereof. We are able to extend this statement to the spaces Lp and H1.
Stephen J. Dilworth +3 more
wiley +1 more source
Applications of one inequality to measures of non-compactness and narrow operators
Mathematical Inequalities & Applications, 2019 We consider a generalization of an inequality from papers by Yu. A. Dubinskii, J.L. Lions and E. Magenes. This inequality is of great importance for the proof of solvability of nonlinear elliptic and parabolic equations. In contrast to their works, we do
N. A. Erzakova
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Weak compactness and Orlicz spaces [PDF]
, 2009 We give new proofs that some Banach spaces have Pe lczynski’s property (V ). Mathematics Subject Classification. Primary: 46B20; Secondary: 46E30 Key-words. M -ideal; Morse-Transue space; Orlicz space; Pe lczynski’s property (V ).
P. Lefèvre +3 more
semanticscholar +1 more source
Norm attaining bilinear forms on L1(μ)
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 12, Page 833-837, 2000., 2000 Given a finite measure μ, we show that the set of norm attaining bilinear forms is dense in the space of all continuous bilinear forms on L1(μ) if and only if μ is purely atomic.
Yousef Saleh
wiley +1 more source
Dual complements for domains of ℂ^n
Mathematical Inequalities & Applications, 2019 Let Ω ⊂ Cn be a bounded, strictly convex domain and ̃ Ω be its dual complement. Very few such domains with fully described dual complements have been known.
L. Aĭzenberg, E. Liflyand, A. Nekvinda
semanticscholar +1 more source