Results 21 to 30 of about 1,635 (99)

Local lower norm estimates for dyadic maximal operators and related Bellman functions [PDF]

open access: yes, 2015
We provide lower $L^q$ and weak $L^p$-bounds for the localized dyadic maximal operator on $R^n$, when the local $L^1$ and the local $L^p$ norm of the function are given.
Melas, Antonios D.   +1 more
core   +2 more sources

Weighted Variable Exponent Sobolev spaces on metric measure spaces

open access: yesMoroccan Journal of Pure and Applied Analysis, 2018
In this article we define the weighted variable exponent-Sobolev spaces on arbitrary metric spaces, with finite diameter and equipped with finite, positive Borel regular outer measure.
Hassib Moulay Cherif, Akdim Youssef
doaj   +1 more source

θ-type Calderón-Zygmund Operators and Commutators in Variable Exponents Herz space

open access: yesOpen Mathematics, 2018
The aim of this paper is to deal with the boundedness of the θ-type Calderón-Zygmund operators and their commutators on Herz spaces with two variable exponents p(⋅), q(⋅).
Yang Yanqi, Tao Shuangping
doaj   +1 more source

Some estimates for commutators of bilinear pseudo-differential operators

open access: yesOpen Mathematics, 2022
We obtain a class of commutators of bilinear pseudo-differential operators on products of Hardy spaces by applying the accurate estimates of the Hörmander class. And we also prove another version of these types of commutators on Herz-type spaces.
Yang Yanqi, Tao Shuangping
doaj   +1 more source

Sparse bilinear forms for Bochner Riesz multipliers and applications

open access: yesTransactions of the London Mathematical Society, Volume 4, Issue 1, Page 110-128, December 2017., 2017
Abstract We use the very recent approach developed by Lacey in [An elementary proof of the A2 Bound, Israel J. Math., to appear] and extended by Bernicot, Frey and Petermichl in [Sharp weighted norm estimates beyond Calderón‐Zygmund theory, Anal. PDE 9 (2016) 1079–1113], in order to control Bochner–Riesz operators by a sparse bilinear form. In this way,
Cristina Benea   +2 more
wiley   +1 more source

Boundedness of vector-valued intrinsic square functions in Morrey type spaces [PDF]

open access: yes, 2014
In this paper, we will obtain the strong type and weak type estimates for vector-valued analogues of intrinsic square functions in the weighted Morrey spaces $L^{p,\kappa}(w)$ when $1\leq ...
Wang, Hua
core   +3 more sources

Boundedness of Lusin‐area and gλ* functions on localized Morrey‐Campanato spaces over doubling metric measure spaces

open access: yesJournal of Function Spaces, Volume 9, Issue 3, Page 245-282, 2011., 2011
Let χ be a doubling metric measure space and ρ an admissible function on χ. In this paper, the authors establish some equivalent characterizations for the localized Morrey‐Campanato spaces ερα,p(χ) and Morrey‐Campanato‐BLO spaces ε̃ρα,p(χ) when α ∈ (−∞, 0) and p ∈ [1, ∞).
Haibo Lin   +3 more
wiley   +1 more source

The Boundedness of Commutators of Singular Integral Operators with Besov Functions

open access: yesJournal of Function Spaces, Volume 8, Issue 3, Page 245-256, 2010., 2010
In this paper, we prove the boundedness of commutator generated by singular integral operator and Besov function from some Ld to Triebel‐Lizorkin spaces.
Xionglue Gao   +2 more
wiley   +1 more source

Endpoint estimates for homogeneous Littlewood‐Paley g‐functions with non‐doubling measures

open access: yesJournal of Function Spaces, Volume 7, Issue 2, Page 187-207, 2009., 2009
Let µ be a nonnegative Radon measure on ℝd which satisfies the growth condition that there exist constants C0 > 0 and n ∈ (0, d] such that for all x ∈ ℝd and r > 0, μ(B(x, r)) ≤ C0rn, where B(x, r) is the open ball centered at x and having radius r .
Dachun Yang, Dongyong Yang, Hans Triebel
wiley   +1 more source

Weighted multilinear p-adic Hardy operators and commutators

open access: yesOpen Mathematics, 2017
In this paper, the weighted multilinear p-adic Hardy operators are introduced, and their sharp bounds are obtained on the product of p-adic Lebesgue spaces, and the product of p-adic central Morrey spaces, the product of p-adic Morrey spaces ...
Liu Ronghui, Zhou Jiang
doaj   +1 more source

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