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The proof is an application of the Freyd’s adjoint functor theorem, en- tirely similar to the proof of Theorem 3.1 that asserts the existence of an initial object in the category
The formula in Lemma 3(i) below for counting the Jordan blocks of a given size in the Jordan canonical form of a nilpotent matrix is used in the proof of Theorem 1..
Criteria of various weak and strong type weighted in- equalities are established for singular integrals and maximal functions defined on homogeneous type spaces in the Orlicz
Rakotondratsimba, Weighted strong inequalities for maximal func- tions in Orlicz spaces.. Perez, Two weighted inequalities for potential and fractional type
The latter inequality is also useful to get the boundedness of some Hardy type operators in weighted Lorentz spaces (see Lemma 3).. It is of interest to identify some situations
We study tractability in the worst case setting of tensor product linear operators defined over weighted tensor product Hilbert spaces.. By one evaluation we mean the computation of
In this short paper we prove the equivalence between the Radon- Nikodym Theorem for reflexive Banach spaces and the representability of weakly compact operators with domain L 1 ( µ
The Radon Nikodym Theorem plays a key role in our proof of the Fundamen- tal Theorem of Calculus, particularly the proof given by Bradley [4], so we will outline this proof but
