Results 71 to 80 of about 4,227 (107)

Maximal Functions, Littlewood–Paley Theory, Riesz Transforms and Atomic Decomposition in the Multi-parameter Flag Setting [PDF]

Memoirs of the American Mathematical Society, 2022
In this paper, we develop via real variable methods various characterisations of the Hardy spaces in the multi-parameter flag setting. These characterisations include those via, the non-tangential and radial maximal function, the Littlewood–Paley square function and area integral, Riesz transforms and the atomic decomposition in the multi-parameter ...
Yongsheng Han, Ming-Yi Lee, Ji Li, Brett Wick   +3 more
openaire   +2 more sources

Maximal Operators, Littlewood–Paley Functions and Variation Operators Associated with Nonsymmetric Ornstein–Uhlenbeck Operators

Mediterranean Journal of Mathematics, 2023
In this paper, we establish $$L^p$$ L p boundedness properties for maximal operators, Littlewood–Paley functions and variation operators involving Poisson semigroups and resolvent operators associated with nonsymmetric Ornstein–Uhlenbeck operators.
Lourdes Rodríguez-Mesa
exaly   +2 more sources

Maximal Function Methods for Sobolev Spaces

Mathematical Surveys and Monographs, 2021
| Inequalities (Mathematics) Harmonic analysis on Euclidean spaces – Harmonic analysis in several variables – Maximal functions, Littlewood-Paley theory. | Functional analysis – Linear function spaces and their duals – Sobolev spaces and other spaces of “
J. Kinnunen, Juha Lehrbäck, A. Vähäkangas   +2 more
semanticscholar   +1 more source

Characterizations of weighted Besov and Triebel–Lizorkin spaces with variable smoothness

Communications on Pure and Applied Analysis, 2023
In this paper, we study different types of weighted Besov and Triebel-Lizorkin spaces with variable smoothness. The function spaces can be defined by means of the Littlewood-Paley theory in the field of Fourier analysis, while there are other norms ...
Jae-Hwan Choi, Jin Bong Lee, Jinsol Seo, Kwan Woo   +3 more
semanticscholar   +1 more source

Calderón-Zygmund Operators Related to Jacobi Expansions

Journal of Fourier Analysis and Applications, 2010
We study several fundamental operators in harmonic analysis related to Jacobi expansions, including Riesz transforms, imaginary powers of the Jacobi operator, the Jacobi-Poisson semigroup maximal operator and Littlewood-Paley-Stein square functions.
A. Nowak, P. Sjögren
semanticscholar   +2 more sources

Sharp $B$-Maximal Function Estimates and Boundedness for Some Integral Operators to the Inequalities

Journal of new theory
In this paper, we first establish the relation between $B$-maximal and sharp $B$-maximal functions generated by the generalized translation operator connected with the Laplace-Bessel differential operator.
C. Keskin, Havva Nur Turkak
semanticscholar   +1 more source

Singular Integral Operators in Dunkl Setting

Journal of Lie theory, 2012
. In this paper we present a new approach to vector-valued singular integrals, which allows us to obtain the L p -estimates for vector valued Dunkl-maximal functions and analogue of the Littlewood-Paley g-function. Mathematics Subject Classification 2000:
B. Amri, M. Sifi
semanticscholar   +1 more source

Singular integral operators and sublinear operators on Hardy local Morrey spaces with variable exponents

, 2021
K. Ho
semanticscholar   +1 more source

Weighted BMO Type Spaces Associated to Admissible Functions and Applications

Acta Mathematica Vietnamica, 2016
N. Trong, N. T. Tung
semanticscholar   +2 more sources