Results 11 to 20 of about 43 (43)

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

Journal 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

On the Lebedev transformation in Hardy′s spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 66, Page 3603-3616, 2004., 2004
We establish the inverse Lebedev expansion with respect to parameters and arguments of the modified Bessel functions for an arbitrary function from Hardy′s space H2,A, A > 0. This gives another version of the Fourier‐integral‐type theorem for the Lebedev transform. The result is generalized for a weighted Hardy space H⌢2,A≡H⌢2((−A,A);|Γ(1+Rez+iτ)|2dτ),
Semyon B. Yakubovich
wiley   +1 more source

Lipschitz measures and vector‐valued Hardy spaces

International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 5, Page 345-356, 2001., 2001
We define certain spaces of Banach‐valued measures called Lipschitz measures. When the Banach space is a dual space X*, these spaces can be identified with the duals of the atomic vector‐valued Hardy spaces HXp(ℝn), 0 < p < 1. We also prove that all these measures have Lipschitz densities.
Magali Folch-Gabayet, Martha Guzmán-Partida, Salvador Pérez-Esteva   +2 more
wiley   +1 more source

Elliptic Riesz operators on the weighted special atom spaces

International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 1, Page 15-18, 1996., 1995
In this paper we study the boundedness and convergence of and , the elliptic Riesz operators and the conjugate elliptic Riesz operators of order s > 0, on the weighted special atom space B(ω).
Kuang Jichang
wiley   +1 more source

Area Integral Characterization of Hardy space H1L related to Degenerate Schrödinger Operators

Advances in Nonlinear Analysis, 2019
Let
Huang Jizheng, Li Pengtao, Liu Yu
doaj   +1 more source

On the L p-boundedness of Calderón-Zygmund operators

Advanced Nonlinear Studies
The main result in this paper is that, for singular integral operators associated with standard kernels, local L 1-estimates imply global L p-estimates for every p ∈ (1, ∞).
Mitrea Dorina, Mitrea Marius
doaj   +1 more source

Grand Triebel-Lizorkin-Morrey spaces

Demonstratio Mathematica
This article studies the Triebel-Lizorkin-type spaces built on grand Morrey spaces on Euclidean spaces. We establish a number of characterizations on the grand Triebel-Lizorkin-Morrey spaces such as the Peetre maximal function characterizations, the ...
Ho Kwok-Pun
doaj   +1 more source

The Neumann function and the L p Neumann problem in chord-arc domains

Advanced Nonlinear Studies
We construct the Neumann function in a 1-sided chord-arc domain (i.e., a uniform domain with an Ahlfors regular boundary), and establish size and Hölder continuity estimates up to the boundary.
Hofmann Steve, Sparrius Derek
doaj   +1 more source

A fractional version of Rivière's GL(n)-gauge. [PDF]

Ann Mat Pura Appl, 2022
Da Lio F, Mazowiecka K, Schikorra A.
europepmc   +1 more source

A new version of Carleson measure associated with Hermite operator. [PDF]

J Inequal Appl, 2018
Huang J, Wang Y, Li W.
europepmc   +1 more source