Sharp Estimates for $p$-Adic Hardy, Hardy-Littlewood-Pólya Operators and Commutators [PDF]
arXiv, 2011 In this paper we get the sharp estimates of the $p$-adic Hardy and Hardy-Littlewood-P\'olya operators on $L^q(|x|^{\alpha}_pdx)$. Also, we prove that the commutators generated by the $p$-adic Hardy operators (Hardy-Littlewood-P\'olya operators) and the central BMO functions are bounded on $L^q(|x|^{\alpha}_pdx)$, more generally, on Herz spaces.
arxiv
Spatial Numerical Range of Operators on Weighted Hardy Spaces
International Journal of Mathematics and Mathematical Sciences, 2011 We consider the spatial numerical range of operators on weighted Hardy spaces and give conditions for closedness of numerical range of compact operators.
Abdolaziz Abdollahi +1 more
doaj +1 more source
A Montel-type theorem for Hardy spaces of holomorphic functions [PDF]
arXiv, 2020 We give a version of the Montel theorem for Hardy spaces of holomorphic functions on an infinite dimensional space. As a by-product, we provide a Montel-type theorem for the Hardy space of Dirichlet series. This approach also gives an elementary proof of Montel theorem for the classical one-variable Hardy spaces.
arxiv
Some extensions of Hardy's integral inequalities to Hardy type spaces [PDF]
arXiv, 2011 In this paper some extensions of Hardy's integral inequalities to $0
arxiv
A nested embedding theorem for Hardy-Lorentz spaces with applications to coefficient multiplier problems [PDF]
arXiv, 2005 We prove a nested embedding theorem for Hardy-Lorentz spaces and use it to find coefficient multiplier spaces of certain non-locally convex Hardy-Lorentz spaces into various target spaces such as Lebesgue sequence spaces, other Hardy spaces, and analytic mixed norm spaces.
arxiv
Sharp Bounds for Fractional Conjugate Hardy Operator on Higher-Dimensional Product Spaces
Journal of Function Spaces, 2020 In this paper, we obtain the sharp bound for fractional conjugate Hardy operator on higher-dimensional product spaces from L1ℝn1×⋯×ℝnm to the space wLQℝn1×⋯×ℝnm and Lpℝn1×⋯×ℝnm to the space Lqℝn1×⋯×ℝnm. More generally, the operator norm of the fractional
Zequn Wang +3 more
doaj +1 more source
Pointwise multipliers in Hardy-Orlicz spaces, and interpolation [PDF]
arXiv, 2007 We study multipliers of Hardy-Orlicz spaces $\mH_{\Phi}$ which are strictly contained between $\bigcup_{p>0}H^p$ and so-called ``big'' Hardy-Orlicz spaces. Big Hardy-Orlicz spaces, carrying an algebraic structure, are equal to their multiplier algebra, whereas in classical Hardy spaces $H^p$, the multipliers reduce to $H^{\infty}$.
arxiv
Different approach to the decomposition theory of $HM^p_{q,{Δ_ν}}$ Hardy-Morrey spaces [PDF]
arXiv, 2020 The Hardy-Morrey spaces related to Laplace-Bessel differential equations are introduced in terms of maximal functions. The atomic decomposition theory which has the same cancellation properties of the $H^{p}_{\Delta_{\nu}}(\mathbb{R}^{n}_{+})$ Hardy spaces is established.
arxiv
Extensions of Hardy spaces and their use in analysis [PDF]
, 1977 Ronald R. Coifman, Guido Weiss
openalex +1 more source
Multilinear operators on Hardy spaces associated with ball quasi-Banach function spaces [PDF]
arXivThis paper establishes that multilinear Calder\'on--Zygmund operators and their maximal operators are bounded on Hardy spaces associated with ball quasi-Banach function spaces. Moreover, we also obtain the boundedness of multilinear pseudo-differential operators on local Hardy spaces associated with ball quasi-Banach function spaces. Since these (local)
arxiv