Jorda Mora, Enrique; Zarco García, Ana María(Hindawi Publishing Corporation, 2013)
For an arbitrary open subset U subset of R-d or U subset of C-d and a continuous function v : U ->]0,infinity[ we show that the space h(v0) (U) of weighed harmonic functions is almost isometric to a (closed) subspace of ...
Jorda Mora, Enrique; Zarco, Ana María(HELDERMANN VERLAG, LANGER GRABEN 17, LEMGO, GERMANY, 32657, 2019)
[EN] A well known criterion of Smulyan states that the norm parallel to.parallel to of a real Banach space X is Gateaux differentiable at x is an element of X if and only if there is x* is an element of S-X* which is ...
Jorda Mora, Enrique; Zarco García, Ana María(Springer Verlag, 2014-09)
We study Banach spaces of harmonic functions on open sets of or endowed with weighted supremum norms. We investigate the harmonic associated weight defined naturally as the analogue of the holomorphic associated weight ...
Zarco García, Ana María(Universitat Politècnica de València, 2015-10-26)
[EN] The Ph.D. thesis "Weighted Banach Spaces of harmonic functions" presented here, treats several topics of functional analysis such as weights, composition operators, Fréchet and Gâteaux differentiability of the norm ...