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Muckenhoupt weights with singularities on closed lower dimensional sets in spaces of homogeneous type
(Elsevier, 2014-08)
We give sufficient conditions on a real number β and on a closed set F in a general space of homogeneous type (X,d,μ)(X,d,μ) in such a way that μ(B(x,d(x,F)))βμ(B(x,d(x,F)))β becomes a Muckenhoupt weight. In order to prove ...
Nonlocal Schrödinger equations in metric measure spaces
(Elsevier, 2015-10)
In this note we consider the pointwise convergence to the initial data for the solutions of some nonlocal dyadic Schrödinger equations on spaces of homogeneous type. We prove the a.e. convergence when the initial data ...
Fractional Sobolev spaces with variable exponents and fractional p(X)-Laplacians
(Univ Szeged, 2017-11)
In this article we extend the Sobolev spaces with variable exponents to include the fractional case, and we prove a compact embedding theorem of these spaces into variable exponent Lebesgue spaces. As an application we ...
The fractional integral between Orlicz and BMO(phi) spaces on spaces of homogeneous type
(Faculty of Mathematics and Physics of Charles University, 2003-07)
In this work we give sufficient and necessary conditions for the boundednessof the fractional integral operator acting between weighted Orlicz spaces and suitableBMOφ spaces, in the general setting of spaces of homogeneous ...
Introdução à teoria de homotopia: o grupo fundamental
(Universidade Tecnológica Federal do ParanáCornelio ProcopioBrasilLicenciatura em MatemáticaUTFPR, 2016)
The algebraic topology is a branch of mathematics which the main goal is to solve problems of geometric / topological nature with the aid of Algebra. The homotopy theory is one of the most important topics of the algebraic ...
Quem tem mais pontos, o círculo ou a reta?
(Universidade Federal do Rio Grande do NorteBrasilUFRNLicenciatura em Matemática, 2017-12-08)
This paper aims to enunciate and demonstrate important peculiar results that occur
in metric spaces. For this, it is used the bibliographical research, with which a study
and survey was made on the metric spaces, sequences ...
New types of locally connected spaces via clopen set
(Corporación Universidad de la Costa, 2021)
COPIES OF c(0)(Gamma) IN C(K, X) SPACES
(AMER MATHEMATICAL SOCPROVIDENCE, 2013-08-02)
We extend some results of Rosenthal, Cembranos, Freniche, E. Saab-P. Saab and Ryan to study the geometry of copies and complemented copies of c(0)(Gamma) in the classical Banach spaces C(K, X) in terms of the carclinality ...
New estimates for the div, curl, grad operators and elliptic problems with L-1-data in the half-space
(Pergamon-elsevier Science LtdOxfordInglaterra, 2011)
Larotonda spaces: Homogeneous spaces and conditional expectations
(World Scientific, 2016-02)
We define a Larotonda space as a quotient space P = UA/UB of the unitary groups of C ∗ -algebras 1 ∈ B ⊂ A with a faithful unital conditional expectation Φ : A → B. In particular, B is complemented in A, a fact which implies ...