Results 21 to 30 of about 575 (76)

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

Calderón-Hardy Spaces with variable exponents and the solution of the equation Δ^m F = f for f ∈ H^p(⋅)(ℝ^n)

, 2016
In this article we define the Calderón-Hardy spaces with variable exponents on Rn , H p(.) q,γ (Rn) , and we show that for m∈N the operator Δm is a bijective mapping from H p(.) q,2m(R) onto Hp(.)(Rn) .
P. Rocha
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

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  

Bilinear pseudo-differential operators with exotic symbols, II

, 2018
The boundedness from $H^p \times L^2$ to $L^r$, $1/p+1/2=1/r$, and from $H^p \times L^{\infty}$ to $L^p$ of bilinear pseudo-differential operators is proved under the assumption that their symbols are in the bilinear H\"ormander class $BS^m_{\rho,\rho}$,
Miyachi, Akihiko, Tomita, Naohito
core   +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

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

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

On the restricted summability of the multi-dimensional Vilenkin-Cesàro means

, 2017
The properties of the maximal operator of the (C,α) -means (α = (α1, . . . ,αd) ) of the multi-dimensional Vilenkin-Fourier series are discussed, where the set of indices is inside a cone-like set.
I. Blahota, K. Nagy
semanticscholar   +1 more source