Results 31 to 40 of about 4,984,277 (353)

Generalized Hardy–Morrey Spaces [PDF]

open access: yesZeitschrift für Analysis und ihre Anwendungen, 2017
This paper is an off-spring of the contribution [Z. Anal. Anwend. 36 (2017)(1), 17–35]. We propose a way to consider the decomposition method of generalized Hardy–Morrey spaces. Generalized Hardy–Morrey spaces emerged from generalized Morrey spaces.
Akbulut, Ali   +3 more
openaire   +4 more sources

Sharp Trace Hardy-Sobolev-Maz'ya Inequalities and the Fractional Laplacian [PDF]

open access: yes, 2011
In this work we establish trace Hardy and trace Hardy-Sobolev-Maz'ya inequalities with best Hardy constants, for domains satisfying suitable geometric assumptions such as mean convexity or convexity.
A. Alvino   +34 more
core   +2 more sources

Hardy spaces for the strip

open access: yesJournal of Mathematical Analysis and Applications, 2007
AbstractIn this paper we shall study Hardy spaces of analytic functions in a strip S. Our main result is on one hand an intrinsic characterization of the spaces and on the second that polynomials are dense. We also present an orthogonal (in H2(S)) basis of polynomials.
Sten Kaijser, Andrew Bakan
openaire   +2 more sources

Sharp Bounds for Fractional Conjugate Hardy Operator on Higher-Dimensional Product Spaces

open access: yesJournal 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

Reducing Subspaces for Toeplitz Operator Tz1k1z2k2+az¯1l1z¯2l2 on the Weighted Hardy Space over the Bidisk

open access: yesJournal of Function Spaces, 2022
In this paper, we completely characterize the reducing subspaces for Tφa on weighted Hardy space ℋω2D2 under three assumptions on ω, where φa=zk+az¯l, k,l∈ℕ2, k≠l, and a∈0,1.
Changguo Wei, Xin Ding, Yanyue Shi
doaj   +1 more source

Variable Anisotropic Hardy Spaces with Variable Exponents

open access: yesAnalysis and Geometry in Metric Spaces, 2021
Let p(·) : ℝn → (0, ∞] be a variable exponent function satisfying the globally log-Hölder continuous and let Θ be a continuous multi-level ellipsoid cover of ℝn introduced by Dekel et al. [12].
Yang Zhenzhen   +3 more
doaj   +1 more source

Carleson Measures for the Drury-Arveson Hardy space and other Besov-Sobolev spaces on Complex Balls [PDF]

open access: yes, 2007
We characterize the Carleson measures for the Drury-Arveson Hardy space and other Hilbert spaces of analytic functions of several complex variables. This provides sharp estimates for Drury's generalization of Von Neumann's inequality.
Arcozzi, N., Rochberg, R., Sawyer, E.
core   +2 more sources

Contractive inequalities for Hardy spaces [PDF]

open access: yesFunctiones et Approximatio Commentarii Mathematici, 2018
We state and discuss several interrelated results, conjectures, and questions regarding contractive inequalities for classical $H^p$ spaces of the unit disc. We study both coefficient estimates in terms of weighted $\ell^2$ sums and the Riesz projection viewed as a map from $L^q$ to $H^p$ with $q\ge p$.
Brevig, Ole Fredrik   +3 more
openaire   +6 more sources

Molecular Characterization of Hardy Spaces Associated with Twisted Convolution

open access: yesJournal of Function Spaces, 2014
We give a molecular characterization of the Hardy space associated with twisted convolution. As an application, we prove the boundedness of the local Riesz transform on the Hardy space.
Jizheng Huang, Yu Liu
doaj   +1 more source

Some notes on complex symmetric operators [PDF]

open access: yesE-Journal of Analysis and Applied Mathematics, 2021
In this paper we show that every conjugation $C$ on the Hardy-Hilbert space $H^{2}$ is of type $C=T^{*}\mathcal{J} T$, where $T$ is an unitary operator and $\mathcal{J} f\left(z\right)=\overline{f\left(\overline{z}\right)}$ with $f\in H^{2}$.
Marcos S. Ferreira
doaj   +1 more source

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