Results 31 to 40 of about 562 (59)

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

A Note on Div-Curl Lemma [PDF]

, 2007
2000 Mathematics Subject Classification: 42B30, 46E35, 35B65.We prove two results concerning the div-curl lemma without assuming any sort of exact cancellation, namely the divergence and curl need not be zero, and $$div(u^−v^→) ∈ H^1(R^d)$$ which include
Gala, Sadek
core  

Boundedness of generalized Riesz potentials on spaces of homogeneous type

, 2010
The authors introduce a class of generalized Riesz potentials with kernels having weak regularity on spaces of homogeneous type in the sense of Coifman and Weiss and establish their boundedness on Lebesgue spaces and Hardy spaces.
Liguang Liu, Dachun Yang, Yuan Zhou
semanticscholar   +1 more source

Optimal estimates for harmonic functions in the unit ball

, 2011
We find the sharp constants $C_p$ and the sharp functions $C_p=C_p(x)$ in the inequality $$|u(x)|\leq \frac{C_p}{(1-|x|^2)^{(n-1)/p}}\|u\|_{h^p(B^n)}, u\in h^p(B^n), x\in B^n,$$ in terms of Gauss hypergeometric and Euler functions.
Kalaj, David, Markovic, Marijan
core   +1 more source

SOME CHARACTERIZATIONS OF HARDY SPACES ASSOCIATED WITH TWISTED CONVOLUTION

, 2009
In this paper, we shall give some characterizations of the Hardy space associated with twisted convolution, including Lusin area integral, Littlewood–Paley g-function and heat maximal function.
Jizheng Huang
semanticscholar   +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

Asymptotic Estimates of the Eigenvalues of Some Integral Operators

, 2007
In this paper, we give asymptotic estimates of the eigenvalues of certain positive Fredholm operators Mathematics Subject Classification: 45C05, 45H05, 45P05, 30D55 ...
Y. Soykan
semanticscholar   +1 more source

Commutators of imaginary powers of Laplace operators

, 2005
We obtain continuity properties of commutators generated by the imaginary powers of the Laplace operator and BMO functions on Hardy spaces and certain Hardy type spaces. Mathematics subject classification (2000): 35J05, 42B20, 42B30.
Sunggeum Hong
semanticscholar   +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

Anisotropic Hardy spaces and wavelets

, 2003
In this paper, motivated in part by the role of discrete groups of dilations in wavelet theory, we introduce and investigate the anisotropic Hardy spaces associated with very general discrete groups of dilations.
Marcin Bownik
semanticscholar   +1 more source