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Classical Solutions of the Equation of Local Fluctuations of Riesz Gravitational Fields and their Properties
We consider a pseudodifferential equation involving the Riesz operator of fractional differentiation, which is a natural generalization of the...
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Bohr type inequality for Cesáro and Bernardi integral operator on simply connected domain
In this article, we study the Bohr type inequality for Cesáro operator and Bernardi integral operator acting on the space of analytic functions...
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The Alexandrov–Fenchel inequality
To illustrate the strength of this inequality, we observe that it yields the 1st Minkowski inequality and the 2nd Minkowski inequality as particular... -
A strong converse inequality for generalized sampling operators
We establish a two-term strong converse inequality for the rate of approximation of generalized sampling operators by means of the classical moduli...
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Wave front sets of Riesz type on Minkowski space
This paper focuses on constructing an O (1, 3)-invariant oscillatory integral on Minkowski space. We then proceed to calculate the wave front set of...
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On the Rellich Type Inequality for Schrödinger Operators with Singular Potential
The aim of this note is to derive the Rellich type inequality for Schrödinger operators with singular potential of the inverse-square type. In... -
Maximal and Riesz Potential Operators in Double Phase Lorentz Spaces of Variable Exponents
AbstractIn the present note, we discuss the boundedness of maximal and Riesz potential operators in double-phase Lorentz spaces of variable...
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On the Global Existence for the Compressible Euler–Riesz System
The present paper aims at extending to the Euler–Riesz system the results. -
On the Bilinear Bochner–Riesz Problem at Critical Index
In this paper, we study maximal and square functions associated with bilinear Bochner–Riesz means at the critical index. In particular, we prove that...
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Functional Inequalities on Symmetric Spaces of Noncompact Type and Applications
The aim of this paper is to begin a systematic study of functional inequalities on symmetric spaces of noncompact type of higher rank. Our first main...