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Thus, we see that a square function inequality much like that of (2.13) holds; this completes the proof of Rubio de Francia’s Theorem in the one- dimensional case, aside from the
The first proof, given in Section 2, uses a decomposition of the paths under consideration, while the second proof, given in Section 3, uses the continued fraction theorem due to
Our proof of Theorem 2 follows by enumerating the degree sequences which fit into each of the five categories in Theorem 1 and then removing those that have been counted multiple
After that we give the proof of the main theorem which is based on Theorem 2.1 to be proved below and our results obtained previously [7] (see also [8]) for fractional integrals
A new simple proof of the well-known theorem of McEliece about the complete weight enumerators of ternary self-dual codes is
The following Theorem shows that if T is a Maltsev theory, then all surjec- tive homomorphisms of simplicial T -models are Kan fibrations, which obviously implies Theorem 1.. Our
The Schauder Fixed Point Theorem is, undoubtedly, one of the most impor- tant theorems of nonlinear analysis.. Theorem 1.1 (Schauder) Let M be a nonempty closed bounded convex sub-
Strategy proofness and pivotal voters: A direct proof of the Gibbard–Sattherthwaite theorem. Three Brief Proofs of Arrow’s
