Weighted inequalities for one-sided maximal functions in Orlicz spaces
نویسندگان
چکیده
منابع مشابه
Maximal Inequalities of Kahane-Khintchine’s Type in Orlicz Spaces
Several maximal inequalities of Kahane-Khintchine’s type in certain Orlicz spaces are proved. The method relies upon Lévy’s inequality and the technique established in [14] which is obtained by Haagerup-Young-Stechkin’s best possible constants in the classical Khintchine inequalities. Moreover by using Donsker’s invariance principle it is shown that the numerical constant in the inequality dedu...
متن کاملWeighted 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 کاملKorn Inequalities In Orlicz Spaces
We use gradient estimates for solutions of elliptic equations to obtain Korn’s inequality for fields with zero trace from Orlicz–Sobolev classes. As outlined for example in the monographs of Málek, Nečas, Rokyta, Růžička [MNRR], of Duvaut and Lions [DL] and of Zeidler [Ze], the well-posedness of many variational problems arising in fluid mechanics or in the mechanics of solids heavily depends o...
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 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: Studia Mathematica
سال: 1998
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-131-2-101-114