Results 21 to 30 of about 551 (60)
Hausdorff operators on the weighted Herz-type Hardy spaces
, 2016 In this paper, we study the high-dimensional Hausdorff operators on the weighted Herz-type Hardy spaces and obtain some substantial extensions from the previous results in [3].
Jianmiao Ruan, D. Fan
semanticscholar +1 more source
Integral means and boundary limits of Dirichlet series [PDF]
, 2007 We study the boundary behavior of functions in the Hardy spaces HD^p for ordinary Dirichlet series. Our main result, answering a question of H. Hedenmalm, shows that the classical F. Carlson theorem on integral means does not extend to the imaginary axis
Saksman, Eero, Seip, Kristian
core +2 more sources
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
, 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
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
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
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Grand Triebel-Lizorkin-Morrey spaces
Demonstratio MathematicaThis 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
, 2009 Let L=-\Delta+V be a Schr\"odinger operator on R^d, d\geq 3. We assume that V is a nonnegative, compactly supported potential that belongs to L^p(R^d), for some p>d/2. Let K_t be the semigroup generated by -L.
A. Sikora +10 more
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