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Real-Analytic Non-Integrable Functions on the Plane with Equal Iterated Integrals
(Springer, 2021-12-16)
In this note, a vector space of real-analytic functions on the plane is explicitly constructed such that all its nonzero functions are non-integrable but yet their two iterated integrals exist as real numbers and coincide. ...
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Finite time singularities for water waves with surface tension
(AIP Publishing, 2012-11)
Here we consider the 2D free boundary incompressible Euler equation with surface tension. We prove that the surface tension does not prevent a finite time splash or splat singularity, i.e. that the curve touches itself ...
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A continuation method for weakly contractive mappings under the interior condition
(Hindawi, 2009)
Recently, Frigon proved that, for weakly contractive maps, the property of having a fixed point is invariant by a certain class of homotopies, obtaining as a consequence a Leray-Schauder alternative for this class of maps ...
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Composition operators on Hardy-Orlicz spaces
(American Mathematical Society, 2010)
We investigate composition operators on Hardy-Orlicz spaces when the Orlicz function Ψ grows rapidly: compactness, weak compactness, to be p-summing, order bounded,..., and show how these notions behave according to the ...
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Fixed point theorems for multivalued mappings in modular function spaces
(International Society of Mathematical Sciences, 2006)
The purpose of this paper is to study the existence of fixed points for multivalued nonexpansive mappings in modular function spaces. We apply our main result to obtain fixed point theorems for multivalued mappings in ...
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Artículo
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Multiplicative sequences for universal sequences of mappings
(The European Digital Mathematics Library, 2001)
In this paper we study the universality of (cnTn) where (cn) is a scalar sequence and (Tn) is a universal sequence such that Tn is valued in a topological vector space. We also show that if T is a hypercyclic operator on ...
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Pseudo-Fubini Real-Entire Functions on the Plane
(Springer, 2022-09-09)
In this note, it is proved the existence of a c -dimensional vector space of real-entire functions all of whose nonzero members are non-integrable in the sense of Lebesgue but yet their two iterated integrals exist as ...
Artículo
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Sharp weighted estimates for multilinear commutators
(London Mathematical Society, 2002-06)
Multilinear commutators with vector symbol Formula=(b1,…,bm) defined by Formula are considered, where K is a Calderón–Zygmund kernel. The following a priori estimates are proved for w ∈ A∞. For 0 < p < ∞, there exists ...
Artículo
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Matrix-valued little q-Jacobi polynomials
(Elsevier, 2015-05)
Matrix-valued analogues of the little q-Jacobi polynomials are introduced and studied. For the 2×2-matrix-valued little q-Jacobi polynomials explicit expressions for the orthogonality relations, Rodrigues formula, three-term ...