Weighted inequalities for one-sided maximal functions
نویسندگان
چکیده
منابع مشابه
Weighted Inequalities for the Two-dimensional One-sided Hardy-littlewood Maximal Function
In this work we characterize the pair of weights (w, v) such that the one-sided Hardy-Littlewood maximal function in dimension two is of weaktype (p, p), 1 ≤ p < ∞, with respect to the pair (w, v). As an application of this result we obtain a generalization of the classic Dunford-Schwartz Ergodic Maximal Theorem for bi-parameter flows of null-preserving transformations.
متن کاملWeighted inequalities for commutators of one-sided singular integrals
We prove weighted inequalities for commutators of one-sided singular integrals (given by a Calderón-Zygmund kernel with support in (−∞, 0)) with BMO functions. We give the one-sided version of the results in [C. Pérez, Sharp estimates for commutators of singular integrals via iterations of the Hardy-Littlewood maximal function, J. Fourier Anal. Appl., vol. 3 (6), 1997, pages 743–756] and [C. Pé...
متن کاملNorm Inequalities Relating One-sided Singular Integrals and the One-sided Maximal Function
In this paper we prove that if a weight w satisfies the C q condition, then the Lp(w) norm of a one-sided singular integral is bounded by the Lp(w) norm of the one-sided Hardy-Littlewood maximal function, for 1 < p < q <∞.
متن کاملWeighted Rearrangement Inequalities for Local Sharp Maximal Functions
Several weighted rearrangement inequalities for uncentered and centered local sharp functions are proved. These results are applied to obtain new weighted weak-type and strong-type estimates for singular integrals. A self-improving property of sharp function inequalities is established.
متن کاملComplete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables
Let be a sequence of arbitrary random variables with and , for every and be an array of real numbers. We will obtain two maximal inequalities for partial sums and weighted sums of random variables and also, we will prove complete convergence for weighted sums , under some conditions on and sequence .
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1990
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-1990-0986694-9