Results 1 to 10 of about 20,991 (144)

New applications of Schrödinger type inequalities in the Schrödingerean Hardy space [PDF]

open access: yesJournal of Inequalities and Applications, 2017
As new applications of Schrödinger type inequalities obtained by Jiang (J. Inequal. Appl. 2016: Article ID 247, 2016) in the Schrödingerean Hardy space, we not only obtain the representation of Schrödingerean harmonic functions but also give a sufficient
Yong Lu   +5 more
doaj   +2 more sources

Weighted Calderón-Hardy spaces [PDF]

open access: yesMathematica Bohemica
We present the weighted Calderón-Hardy spaces on Euclidean spaces and investigate their properties. As an application we show, for certain power weights, that the iterated Laplace operator is a bijection from these spaces onto classical weighted Hardy ...
Pablo Rocha
doaj   +4 more sources

Generalization of the Hardy-Littlewood theorem on Fourier series [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
In the theory of one-dimensional trigonometric series, the Hardy-Littlewood theorem on Fourier series with monotone Fourier coefficients is of great importance.
S. Bitimkhan
doaj   +3 more sources

Iterated discrete Hardy-type inequalities with three weights for a class of matrix operators

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
Iterated Hardy-type inequalities are one of the main objects of current research on the theory of Hardy inequalities. These inequalities have become well-known after study boundedness properties of the multidimensional Hardy operator acting from the ...
N.S. Zhangabergenova, A.M. Temirhanova
doaj   +1 more source

Discrete Hardy Spaces [PDF]

open access: yesJournal of Fourier Analysis and Applications, 2014
The authors summarize the contents of this paper in the abstract as follows: We study the boundary behavior of discrete monogenic functions, i.e. null-solutions of a discrete Dirac operator, in the upper and lower half space. Calculating the Fourier symbol of the boundary operator we construct the corresponding discrete Hilbert transforms, the ...
Cerejeiras, Paula   +3 more
openaire   +3 more sources

Volterra integration operators from Hardy-type tent spaces to Hardy spaces

open access: yesJournal of Inequalities and Applications, 2022
In this paper, we completely characterize the boundedness and compactness of the Volterra integration operators J g $J_{g}$ acting from the Hardy-type tent spaces HT q , α p ( B n ) to the Hardy spaces H t ( B n ) in the unit ball of C n for all 0 < p ...
Rong Hu, Chuan Qin, Lv Zhou
doaj   +1 more source

Mixed Martingale Hardy Spaces [PDF]

open access: yesThe Journal of Geometric Analysis, 2020
AbstractIn this paper, we consider the martingale Hardy spaces defined with the help of the mixed $$L_{\overrightarrow{p}}$$ L p → -norm. Five mixed martingale Hardy spaces will be investigated:
Szarvas, Kristof, Weisz, Ferenc
openaire   +3 more sources

L p $L^{p}$ Hardy type inequality in the half-space on the H-type group

open access: yesJournal of Inequalities and Applications, 2016
In the current work we studied Hardy type and L p $L^{p}$ Hardy type inequalities in the half-space on the H-type group, where the Hardy inequality in the upper half-space R + n $\mathbf{R}_{+}^{n}$ was proved by Tidblom in (J. Funct. Anal.
Jianxun He, Mingkai Yin
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

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

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