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Boundedness of Fourier Multipliers on Fundamental Domains of Lattices
This short paper is an overview of my research about...
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Boundedness of some convolution-type operators on metric measure spaces
We explore boundedness properties of some natural operators of convolution type in the context of metric measure spaces. Their study is suggested by...
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Poisson Total Boundedness and Total Oscillability of Solutions to Systems of Differential Equations
This is a continuation of the author’s study of some special form of boundedness of solutions to systems of differential equations, namely, their...
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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 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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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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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 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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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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Multilinear Schur-type tests and boundedness of multilinear Bergman-type operators
We provide in this note some endpoint criteria for the boundedness of some general multilinear operators with positive kernel. We also study...
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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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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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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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Boundedness of Strongly Singular Integral Operators on Non-Homogenous Metric Measure Spaces
In this paper, strongly singular integral operators on non-homogeneous metric measure spaces are introduced, and their L p ( μ )-boundedness is...
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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...