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Mostrando ítems 451-460 de 509
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Boundary-nonregular functions in the disc algebra and in holomorphic Lipschitz spaces
(Springer, 2018-06)
We prove in this paper the existence of dense linear subspaces in the classical holomorphic Lipschitz spaces in the disc all of whose non-null functions are nowhere differentiable at the boundary. Infinitely generated free ...
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Trudinger inequalities without derivatives
(American Mathematical Society, 2002)
We prove that the Trudinger inequality holds on connected homogeneous spaces for functions satisfying a very weak type of Poincar´e inequality. We also illustrate the connection between this result and the John-Nirenbe ...
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Contour dynamics of incompressible 3-D fluids in a porous medium with different densities
(Springer, 2007-07)
We consider the problem of the evolution of the interface given by two incompressible fluids through a porous medium, which is known as the Muskat problem and in two dimensions it is mathematically analogous to the two-phase ...
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Nowhere hölderian functions and Pringsheim singular functions in the disc algebra
(Springer, 2019-04)
We prove the existence of dense linear subspaces, of infinitely generated subalgebras and of infinite dimensional Banach spaces in the disc algebra all of whose nonzero members are not α-h¨olderian at any point of the ...
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Metric fixed point theory on hyperconvex spaces: recent progress
(2012)
In this survey we present an exposition of the development during the last decade of metric fixed point theory on hyperconvex metric spaces. Therefore we mainly cover results where the conditions on the mappings are metric. ...
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Brunn-Minkowski and Zhang inequalities for convolution bodies
(Elsevier, 2013-05-01)
A quantitative version of Minkowski sum, extending the definition of θ-convolution of convex bodies, is studied to obtain extensions of the Brunn-Minkowski and Zhang inequalities, as well as, other interesting properties ...
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The q-Racah-Krall-type polynomials
(Elsevier, 2012-08-01)
In this paper the Krall-type polynomials obtained via the addition of two mass points to the weight function of the standard q-Racah polynomials are introduced. Several algebraic properties of these polynomials are obtained ...
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Fixed points of nonexpansive mappings in spaces of continuous functions
(American Mathematical Society, 2005)
Let K be a compact metrizable space and C(K) the Banach space of all real continuous functions defined on K with the maximum norm. It is known that C(K) fails to have the weak fixed point property for nonexpansive mappings ...
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Extensions of Rubio de Francia's extrapolation theorem
(Universitat de Barcelona, 2006)
One of the main results in modern harmonic analysis is the extrapolation theorem of J.L. Rubio de Francia for Ap weights. In this paper we discuss some recent extensions of this result. We present a new approach that, ...
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Small Furstenberg sets
(Elsevier, 2013-04-15)
For α in (0, 1], a subset E of R2 is called Furstenberg set of type α or Fα-set if for each direction e in the unit circle there is a line segment `e in the direction of e such that the Hausdorff dimension of the set E ∩`e ...