Extreme points in spaces of operators and vector – valued measures
Faber polynomial coefficient estimates of bi-univalent functions connected with the -convolution
We introduce a new class of bi-univalent functions defined in the open unit disc and connected with a -convolution. We find estimates for the general Taylor-Maclaurin coefficients of the functions in this class by using Faber polynomial expansions and we obtain an estimation for the Fekete-Szegö problem for this class.
Factorization and extrapolation of pairs of weights
Formule de Weyl pour les groupes de Lie nilpotents.
Fourier coefficients of continuous linear mappings on homogeneous Banach spaces
Fourier Inequalities and Moment Subspaces in Weightes Lebesgue Spaces.
Fractional integrals on spaces of homogeneous type
Fractional integration on Hardy spaces
Fractional integration operator of variable order in the Hölder spaces .
Frames associated with expansive matrix dilations.
We construct wavelet-type frames associated with the expansive matrix dilation on the Anisotropic Triebel-Lizorkin spaces. We also show the a.e. convergence of the frame expansion which includes multi-wavelet expansion as a special case.
Gantmacher–Kreĭn theorem for 2 nonnegative operators in spaces of functions.
Generalization of the Mercer Theorem
Generalizations of Mercer's theorem for a class of nonselfadjoint operators
Generalized Cesàro operators on certain function spaces
Motivated by some recent results by Li and Stević, in this paper we prove that a two-parameter family of Cesàro averaging operators is bounded on the Dirichlet spaces . We also give a short and direct proof of boundedness of on the Hardy space for 1 < p < ∞.
Generalized Hardy operators and normalizing measures.
Generalized Hilbert Operators on Bergman and Dirichlet Spaces of Analytic Functions
Let f be an analytic function on the unit disk . We define a generalized Hilbert-type operator by , where a and b are non-negative real numbers. In particular, for a = b = β, becomes the generalized Hilbert operator , and β = 0 gives the classical Hilbert operator . In this article, we find conditions on a and b such that is bounded on Dirichlet-type spaces , 0 < p < 2, and on Bergman spaces , 2 < p < ∞. Also we find an upper bound for the norm of the operator . These generalize...
Geometric properties of composition operators belonging to Schatten classes.
Growth of (frequently) hypercyclic functions for differential operators
We investigate the conjugate indicator diagram or, equivalently, the indicator function of (frequently) hypercyclic functions of exponential type for differential operators. This gives insights into growth conditions for these functions on particular rays or sectors. Our research extends known results in several respects.
Hankel multipliers and transplantation operators
Connections between Hankel transforms of different order for -functions are examined. Well known are the results of Guy [Guy] and Schindler [Sch]. Further relations result from projection formulae for Bessel functions of different order. Consequences for Hankel multipliers are exhibited and implications for radial Fourier multipliers on Euclidean spaces of different dimensions indicated.
Hardy Inequality in Variable Exponent Lebesgue Spaces
Mathematics Subject Classification: 26D10, 46E30, 47B38We prove the Hardy inequality and a similar inequality for the dual Hardy operator for variable exponent Lebesgue spaces.