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The boundedness of operators on weighted multi-parameter local Hardy spaces
Though atomic decomposition is a very useful tool for studying the boundedness on Hardy spaces for some sublinear operators, untill now, the...
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Boundedness of the Hilbert Transform in Besov Spaces
Boundedness conditions are found for the Hilbert transform H in Besov spaces with Muckenhoupt weights. The operator H in this situation acts on...
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Boundedness of multilinear commutators of singular integral operators on variable Herz-type spaces
In this paper, we establish the boundedness of multilinear commutators of Hardy–Littlewood maximal operators on Herz-type spaces where all the...
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Relative Boundedness
In this chapter, we first give several recently obtained examples of relatively bounded operators (see (Kato, Perturbation theory for linear...
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Boundedness of weighted Hadamard–Bergman and weighted variable Hadamard–Bergman convolution operators
This paper is a continuation of recent studies of the class of Hadamard–Bergman operators presented in the works of Karapetyants and Samko (Complex...
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On Boundedness of Fractional Hadamard Integration and Hadamard-Type Integration in Lebesgue Spaces with Mixed Norm
In this paper, we consider the boundedness of integrals of fractional Hadamard integration and Hadamard-type integration (mixed and directional) in...
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On the Boundedness of the Fractional Maximal Operator, the Riesz Potential, and Their Commutators in Orlicz Spaces
AbstractIn this paper, conditions are found for the boundedness of the fractional maximal operator, the Riesz potential, and their commutators in...
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Boundedness of Hadamard–Bergman and Variable Hadamard–Bergman Convolution Operators
AbstractThis article continues the study of the Hadamard–Bergman operators in the unit disk of the complex plane. These operators arose as a...
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Some boundedness results for Riemann-Liouville tempered fractional integrals
In this work we generalize some results of the Riemann-Liouville fractional calculus for the tempered case, namely, we deal with some boundedness...
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Cotlar-type inequality and weighted boundedness for maximal multilinear singular integrals in Dunkl setting
In this article, we establish a multilinear Cotlar-type inequality for the maximal multilinear singular integrals in Dunkl setting whose kernels...
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Boundedness and compactness of weighted composition operators and monomial operators
This paper characterises the boundedness and compactness of Agler–McCarthy monomial operators by reducing them to weighted composition operators and...
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On the Boundedness of Sublinear Operators on Grand Herz–Hardy Spaces with Variable Exponent
In this paper, grand Herz–Hardy spaces with variable exponent is introduced. We prove the atomic decomposition of grand Herz–Hardy spaces with...
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\(H^p \rightarrow L^p\) Boundedness of Fourier Multipliers on Graded Lie Groups
In this contribution, we discuss the joint work with Hong et al. (Fourier multipliers for Hardy spaces on graded Lie groups. In: Proceedings of the...
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On Birational Boundedness of Some Calabi–Yau Hypersurfaces
We show the birational boundedness of anti-canonical irreducible hypersurfaces which form 3-fold plt pairs. We also treat a collection of Du Val K3...
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Extendibility and boundedness of invariants on singularities of wavefronts
We investigate necessary and sufficient conditions for the extendibility and boundedness of Gaussian curvature, mean curvature and principal...
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Conditional Boundedness of Generalized Proportional Caputo Fractional Differential Equations
In this paper, we study generalized proportional Caputo fractional differential equations via Lyapunov functions. We define conditional boundedness...
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On the Asymptotic Stability and Ultimate Boundedness of Solutions of a Class of Nonlinear Systems with Delay
AbstractFor a certain class of nonlinear systems of differential equations with constant delay, we study the conditions for the asymptotic stability...
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Boundedness of maximal function for weighted Choquet integrals
We study the boundedness of Hardy–Littlewood maximal function on the spaces defined in terms of Choquet integrals associated with weighted Bessel and...