Weighted weak type Hardy inequalities with applications to Hilbert transforms and maximal functions
Kenneth Andersen, Benjamin Muckenhoupt (1982)
Studia Mathematica
Similarity:
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Kenneth Andersen, Benjamin Muckenhoupt (1982)
Studia Mathematica
Similarity:
F. Martín-Reyes, A. de la Torre (1997)
Studia Mathematica
Similarity:
We characterize the pairs of weights on ℝ for which the operators are of weak type (p,q), or of restricted weak type (p,q), 1 ≤ p < q < ∞, between the Lebesgue spaces with the coresponding weights. The functions h and k are positive, h is defined on , while k is defined on . If , , 0 ≤ β ≤ α ≤ 1, we obtain the operator . For this operator, under the assumption 1/p - 1/q = α - β, we extend the weak type characterization to the case p = q and prove that in the case of equal...
David Cruz-Uribe, SFO, C. Neugebauer, V. Olesen (1995)
Studia Mathematica
Similarity:
We introduce the one-sided minimal operator, , which is analogous to the one-sided maximal operator. We determine the weight classes which govern its two-weight, strong and weak-type norm inequalities, and show that these two classes are the same. Then in the one-weight case we use this class to introduce a new one-sided reverse Hölder inequality which has several applications to one-sided weights.
K. Andersen, R. Kerman (1981)
Studia Mathematica
Similarity:
Ana Lucía Bernardis, Francisco Javier Martín-Reyes (2002)
Publicacions Matemàtiques
Similarity:
Let φ: R → [0,∞) an integrable function such that φχ = 0 and φ is decreasing in (0,∞). Let τf(x) = f(x-h), with h ∈ R {0} and f(x) = 1/R f(x/R), with R > 0. In this paper we characterize the pair of weights (u, v) such that the operators Mf(x) = sup|f| * [τφ](x) are of weak type (p, p) with respect to (u, v), 1 < p < ∞.
Qinsheng Lai (1995)
Studia Mathematica
Similarity:
Pedro Ortega Salvador (2000)
Collectanea Mathematica
Similarity:
Benjamin Muckenhoupt, Richard Wheeden (1976)
Studia Mathematica
Similarity:
M. Menárguez (1995)
Colloquium Mathematicae
Similarity:
It is known that the weak type (1,1) for the Hardy-Littlewood maximal operator can be obtained from the weak type (1,1) over Dirac deltas. This theorem is due to M. de Guzmán. In this paper, we develop a technique that allows us to prove such a theorem for operators and measure spaces in which Guzmán's technique cannot be used.
David Cruz-Uribe, Christoph J. Neugebauer, Victor Olesen (1997)
Publicacions Matemàtiques
Similarity:
We study the weighted norm inequalities for the minimal operator, a new operator analogous to the Hardy-Littlewood maximal operator which arose in the study of reverse Hölder inequalities. We characterize the classes of weights which govern the strong and weak-type norm inequalities for the minimal operator in the two weight case, and show that these classes are the same. We also show that a generalization of the minimal operator can be used to obtain information about the differentiability...
Robert Fefferman, Fernando Soria (1987)
Studia Mathematica
Similarity:
Amiran Gogatishvili, Canay Aykol, Vagif S. Guliyev (2015)
Studia Mathematica
Similarity:
We characterize associate spaces of generalized weighted weak-Lorentz spaces and use this characterization to study embeddings between these spaces.