Spectral dilation of operator-valued measures and its application to infinite-dimensional harmonizable processes
A. Makagon, H. Salehi (1987)
Studia Mathematica
Similarity:
A. Makagon, H. Salehi (1987)
Studia Mathematica
Similarity:
P. Clément, B. de Pagter, F. Sukochev, H. Witvliet (2000)
Studia Mathematica
Similarity:
We study the interplay between unconditional decompositions and the R-boundedness of collections of operators. In particular, we get several multiplier results of Marcinkiewicz type for -spaces of functions with values in a Banach space X. Furthermore, we show connections between the above-mentioned properties and geometric properties of the Banach space X.
C. Onneweer, Su Weiyi (1989)
Studia Mathematica
Similarity:
Jun Tateoka (1994)
Studia Mathematica
Similarity:
C. Watari [12] obtained a simple characterization of Lipschitz classes on the dyadic group using the -modulus of continuity and the best approximation by Walsh polynomials. Onneweer and Weiyi [4] characterized homogeneous Besov spaces on locally compact Vilenkin groups, but there are still some gaps to be filled up. Our purpose is to give the characterization of Besov spaces by oscillations, atoms and others on the dyadic groups. As applications, we show a strong capacity inequality...
G. Gát (1998)
Studia Mathematica
Similarity:
Let G be the Walsh group. For we prove the a. e. convergence σf → f(n → ∞), where is the nth (C,1) mean of f with respect to the Walsh-Kaczmarz system. Define the maximal operator We prove that σ* is of type (p,p) for all 1 < p ≤ ∞ and of weak type (1,1). Moreover, , where H is the Hardy space on the Walsh group.
Pedro Isaza (1988)
Fundamenta Mathematicae
Similarity:
S. C. Chakrabarti (1954)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Chang-Pao Chen, Dah-Chin Luor (2000)
Studia Mathematica
Similarity:
Let s* denote the maximal function associated with the rectangular partial sums of a given double function series with coefficients . The following generalized Hardy-Littlewood inequality is investigated: , where ξ̅=max(ξ,1), 0 < p < ∞, and μ is a suitable positive Borel measure. We give sufficient conditions on and μ under which the above Hardy-Littlewood inequality holds. Several variants of this inequality are also examined. As a consequence, the ||·||p,μ-convergence property...
G. Sampson (1993)
Studia Mathematica
Similarity:
We consider operators of the form with Ω(y,u) = K(y,u)h(y-u), where K is a Calderón-Zygmund kernel and (see (0.1) and (0.2)). We give necessary and sufficient conditions for such operators to map the Besov space (= B) into itself. In particular, all operators with , a > 0, a ≠ 1, map B into itself.
R. Paley (1931)
Studia Mathematica
Similarity:
Z. Ciesielski (1966)
Studia Mathematica
Similarity: