Weighted Inequalities for Fractional Maximal Functions on the Infinite Rooted k-Ary Tree

نویسندگان

چکیده

In this article, we introduce the fractional Hardy–Littlewood maximal function on infinite rooted k-ary tree and study its weighted boundedness. We also provide examples of weights for which satisfies strong type (p, q) estimates tree.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Maximal functions and the control of weighted inequalities for the fractional integral operator

We study weak-type (1, 1) weighted inequalities for the fractional integral operator Iα. We show that the fractional maximal operatorMα controls these inequalities when the weight is radially decreasing. However, we exhibit some counterexamples which show that Mα is not appropriate for this control on general weights. We do provide, nevertheless, some positive results related to this problem by...

متن کامل

Some Weighted Integral Inequalities for Generalized Conformable Fractional Calculus

In this paper, we have obtained weighted versions of Ostrowski, Čebysev and Grüss type inequalities for conformable fractional integrals which is given by Katugompola. By using the Katugampola definition for conformable calculus, the present study confirms previous findings and contributes additional evidence that provide the bounds for more general functions.

متن کامل

Weighted 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 کامل

Rank Functions on Rooted Tree Quivers

The free abelian group R(Q) on the set of indecomposable representations of a quiver Q, over a field K, has a ring structure where the multiplication is given by the tensor product. We show that if Q is a rooted tree (an oriented tree with a unique sink), then the ring R(Q)red is a finitely generated Z-module (here R(Q)red is the ring R(Q) modulo the ideal of all nilpotent elements). We will de...

متن کامل

Percolation on a k-Ary Tree

Starting from the root, extend k branches and append k children with probability p, or terminate with probability q = 1− p. Then, we have a finite k-ary tree with probability one if 0 ≤ p ≤ 1/k. Moreover, we give the expectation and variance of the length of ideal codewords for representing the finite trees. Furthermore, we establish the probability of obtaining infinite tree, that is, of penet...

متن کامل

ذخیره 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: Journal of Geometric Analysis

سال: 2022

ISSN: ['1559-002X', '1050-6926']

DOI: https://doi.org/10.1007/s12220-022-01083-y