Hilbert type operators acting from the Bloch space into Bergman spaces
Sign Up to like & getrecommendations! Published in 2024 at "Proceedings of the Edinburgh Mathematical Society"
DOI: 10.1017/s0013091524000786
Abstract: Abstract Let µ be a finite positive Borelmeasure on $[0,1)$ and $\alpha \gt -1$. The generalized integral operator of Hilbert type $\mathcal {I}_{\mu_{\alpha+1}}$ is defined on the spaces $H(\mathbb{D})$ of analytic functions in the unit… read more here.
Keywords: bloch space; mathcal alpha; space bergman; space ... See more keywords
THE STRUCTURAL FEATURES OF HILBERT-TYPE LOCAL FRACTIONAL INTEGRAL INEQUALITIES WITH ABSTRACT HOMOGENEOUS KERNEL AND ITS APPLICATIONS
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DOI: 10.1142/s0218348x2050111x
Abstract: In this paper, by using the theory of local fractional calculus and some techniques of real analysis, the structural characteristics of Hilbert-type local fractional integral inequalities with abstract homogeneous kernel are studied. At the same… read more here.
Keywords: inequalities abstract; local fractional; hilbert type; integral inequalities ... See more keywords
Equivalent Property of a Hilbert-Type Integral Inequality Related to the Beta Function in the Whole Plane
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DOI: 10.1155/2018/2691816
Abstract: By means of the technique of real analysis and the weight functions, a few equivalent statements of a Hilbert-type integral inequality with the nonhomogeneous kernel in the whole plane are obtained. The constant factor related… read more here.
Keywords: type integral; hilbert type; integral inequality; function ... See more keywords
A Hilbert-type fractal integral inequality and its applications
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DOI: 10.1186/s13660-017-1360-9
Abstract: By using thefractal theory and the methods of weight function, a Hilbert-type fractal integral inequality and its equivalent form are given. Their constant factors are proved being the best possible, and their applications are discussed… read more here.
Keywords: hilbert type; integral inequality; applications hilbert; type fractal ... See more keywords
A Hilbert-type integral inequality under configuring free power and its applications
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-019-2039-1
Abstract: By using the method of weight function, the technique of real analysis, and the theory of special functions, a multi-parameter Hilbert-type integral inequality and its equivalent form are established, and their constant factors are proved… read more here.
Keywords: hilbert type; type integral; inequality configuring; applications hilbert ... See more keywords
A reverse Hardy–Hilbert-type integral inequality involving one derivative function
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-020-02528-0
Abstract: In this article, by using weight functions, the idea of introducing parameters, the reverse extended Hardy–Hilbert integral inequality and the techniques of real analysis, a reverse Hardy–Hilbert-type integral inequality involving one derivative function and the… read more here.
Keywords: hilbert type; hardy hilbert; integral inequality; reverse hardy ... See more keywords
Hilbert-type inequalities for time scale nabla calculus
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DOI: 10.1186/s13662-020-03079-w
Abstract: This paper deals with the derivation of some new dynamic Hilbert-type inequalities in time scale nabla calculus. In proving the results, the basic idea is to use some algebraic inequalities, Holder’s inequality, and Jensen’s time… read more here.
Keywords: inequalities time; hilbert type; scale nabla; time ... See more keywords
Equivalent conditions of a reverse Hilbert - type integral inequality in the whole plane and applications
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DOI: 10.2298/aadm200121020r
Abstract: In the present paper we establish a few equivalent conditions of a reverse Hilbert-type integral inequality with a general non-homogeneous kernel in the whole plane. In the form of applications, we deduce a few equivalent… read more here.
Keywords: equivalent conditions; conditions reverse; hilbert type; reverse hilbert ... See more keywords
A New Hardy–Hilbert-Type Integral Inequality Involving One Multiple Upper Limit Function and One Derivative Function of Higher Order
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DOI: 10.3390/axioms12050499
Abstract: Using weight functions and parameters, as well as applying real analytic techniques, we derive a new Hardy–Hilbert-type integral inequality with the homogeneous kernel 1(x+y)λ+n involving one multiple upper limit function and one derivative function of… read more here.
Keywords: function; new hardy; hilbert type; integral inequality ... See more keywords
On Some New Dynamic Hilbert-Type Inequalities across Time Scales
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DOI: 10.3390/axioms13070475
Abstract: In this article, we present some novel dynamic Hilbert-type inequalities within the framework of time scales T. We achieve this by utilizing Hölder’s inequality, the chain rule, and the mean inequality. As specific instances of… read more here.
Keywords: time; dynamic hilbert; hilbert type; time scales ... See more keywords
Construction Conditions and Applications of a Hilbert-Type Multiple Integral Inequality Involving Multivariable Upper Limit Functions and Higher-Order Partial Derivatives
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DOI: 10.3390/axioms14050355
Abstract: Hilbert-type inequalities derive from the classical Hilbert inequality, and their theoretical work has key applications not only in operator theory but also in various analytic disciplines. In this paper, we have achieved the parametric conditions… read more here.
Keywords: type multiple; multiple integral; construction; hilbert type ... See more keywords