Results 11 to 20 of about 538 (48)
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
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
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 +2 more
wiley +1 more source
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
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
, 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
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
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
On the H^1-L^1 boundedness of operators
, 2008 We prove that if q is in (1,\infty), Y is a Banach space and T is a linear operator defined on the space of finite linear combinations of (1,q)-atoms in R^n which is uniformly bounded on (1,q)-atoms, then T admits a unique continuous extension to a ...
Communicated Andreas Seeger +3 more
core +2 more sources