On a generalized Carleson inequality
D. Deng (1984)
Studia Mathematica
Similarity:
D. Deng (1984)
Studia Mathematica
Similarity:
Robert Latter (1978)
Studia Mathematica
Similarity:
Ferenc Weisz (1996)
Studia Mathematica
Similarity:
It is shown that the restricted maximal operator of the two-dimensional dyadic derivative of the dyadic integral is bounded from the two-dimensional dyadic Hardy-Lorentz space to (2/3 < p < ∞, 0 < q ≤ ∞) and is of weak type . As a consequence we show that the dyadic integral of a ∞ function is dyadically differentiable and its derivative is f a.e.
Akihito Uchiyama (1985)
Studia Mathematica
Similarity:
Zongguang Liu, Guozhen Lu, Shanzhen Lu (2003)
Publicacions Matemàtiques
Similarity:
In this paper, we obtain some strong and weak type continuity properties for the maximal operator associated with the commutator of the Bochner-Riesz operator on Hardy spaces, Hardy type spaces and weak Hardy type spaces.
Guoen Hu, Dachun Yang (2000)
Studia Mathematica
Similarity:
We establish a variant sharp estimate for multilinear singular integral operators. As applications, we obtain the weighted norm inequalities on general weights and certain type estimates for these multilinear operators.
E. Atencia, A. de la Torre (1982)
Studia Mathematica
Similarity:
Loukas Grafakos, Nigel Kalton (2001)
Collectanea Mathematica
Similarity:
It is shown that multilinear Calderón-Zygmund operators are bounded on products of Hardy spaces.
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...
Joseph G. Conlon, Peder Olsen (1999)
Publicacions Matemàtiques
Similarity:
Consider 3-dimensional Brownian motion started on the unit sphere {|x| = 1} with initial density ρ. Let ρt be the first hitting density on the sphere {|x| = t + 1}, t > 0. Then the linear operators T defined by T ρ = ρ form a semigroup with an infinitesimal generator which is approximately the square root of the Laplacian. This paper studies the analogous situation for Brownian motion with a drift , where is small in a suitable scale invariant norm.