Extension sets for real analytic functions and applications to Radon transforms.
Extensions of a Fourier multiplier theorem of Paley, II
Extensions of Fatou Theorems in Products of Upper Half-Spaces.
Extensions of Hardy inequality.
Extensions of Rubio de Francia's extrapolation theorem.
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, among other things, allows us to obtain estimates in rearrangement-invariant Banach function spaces as well as weighted modular inequalities. We also extend this extrapolation technique to the context of A∞ weights. We apply the obtained results to the dyadic square function. Fractional...
Extensions of the Hardy-Littlewood inequalities for Schwarz symmetrization.
Extensions of the Heisenberg-Weyl inequality.
Extensions of weak type multipliers
We prove that if and has compact support then Λ is a weak summability kernel for 1 < p < ∞, where is the space of multipliers of .
Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces.
Extremal vector valued inequalities for Hankel transforms.
Extreme positive definite double sequences which are not moment sequences.
From the fact that the two-dimensional moment problem is not always solvable, we can deduce that there must be extreme ray generators of the cone of positive definite double sequences which are nor moment sequences. Such an argument does not lead to specific examples. In this paper it is shown how specific examples can be constructed if one is given an example of an N-extremal indeterminate measure in the one-dimensional moment problem (such examples exist in the literature). Konrad Schmüdgen had...
Factoring Wavelet Transforms into Lifting Steps.
Factorisation without bounded approximate identities
Factorization and extrapolation of pairs of weights
Factorization of Lipschitz Functioins and Absolute Convergence of Vilenkin-Fourier Series.
Factorization of sequences in discrete Hardy spaces
The purpose of this paper is to obtain a discrete version for the Hardy spaces of the weak factorization results obtained for the real Hardy spaces by Coifman, Rochberg and Weiss for p > n/(n+1), and by Miyachi for p ≤ n/(n+1). It represents an extension, in the one-dimensional case, of the corresponding result by A. Uchiyama who obtained a factorization theorem in the general context of spaces X of homogeneous type, but with some restrictions on the measure that exclude the case of points...
Factorization theorem for product Hardy spaces
We extend the well known factorization theorems on the unit disk to product Hardy spaces, which generalizes the previous results obtained by Coifman, Rochberg and Weiss. The basic tools are the boundedness of a certain bilinear form on ℝ²₊ × ℝ²₊ and the characterization of BMO(ℝ²₊ × ℝ²₊) recently obtained by Ferguson, Lacey and Sadosky.
Fast Fourier transform for rational systems.
Fastperiodische Funktionen.
Fastperiodizitätseigenschaften Dirichletscher Reihen