Extreme points in spaces of operators and vector – valued measures
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.
Hardy space estimates for multilinear operators (I).
In this article we study bilinear operators given by inner products of finite vectors of Calderón-Zygmund operators. We find that necessary and sufficient condition for these operators to map products of Hardy spaces into Hardy spaces is to have a certain number of moments vanishing and under this assumption we prove a Hölder-type inequality in the Hp space context.