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In 1951 V. Jarnik constructed two continuous functions whose Volterra convolution is nowhere differentiable. We generalize Jarnik's results by proving that the set of such functions is maximal lineable. This would shed some light on a question p[...]texto impreso
Let K be a locally compact hypergroup endowed with a left Haar measure and let L1(K) be the usual Lebesgue space of K with respect to the left Haar measure. We investigate some properties of L1(K) under a locally convex topology ?1. Among other [...]texto impreso
Jiménez Rodríguez, P. ; Maghsoudi, S. ; Muñoz-Fernández, Gustavo A. ; Seoane-Sepúlveda, Juan B. | Belgian Mathematical Soc Triomphe | 2016It is known that there is not a two dimensional linear space in R-R every non-zero element of which is an injective function. Here, we generalize this result to arbitrarily large dimensions. We also study the convolution of non differentiable fu[...]texto impreso
In this paper, we consider the size of the set ( f, g) ? p(S) × q (S) : ? x ? S, | f |?|g|(x)texto impreso
Let ? be a Young function, ? be a locally compact space, and ? be a positive Radon measure on ?. We consider a strict topology ?? (in the sense of Sentilles-Taylor) on the Orlicz function space M?(?) and investigate various properties of this lo[...]
