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Maximal function characterizations of Hardy spaces associated with both non-negative self-adjoint operators satisfying Gaussian estimates and ball quasi-Banach function spaces
Assume that L is a non-negative self-adjoint operator on L 2 (ℝ n ) with its heat kernels satisfying the so-called Gaussian upper bound estimate and that X ...
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A remark on density theorems for Riemann’s zeta-function
The goal of this paper is to give a relatively simple proof of some known zero density estimates for Riemann’s zeta-function which are sufficiently...
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Maximal regularity
The present chapter is one of the central ones of this book project. Maximal regularity provides a link between the general theory of operator-valued... -
On Estimates for Maximal Operators
AbstractThe paper deals with boundedness problem for maximal operators associated to hypersurfaces in the space of integrable functions with degree p ...
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On the regularity of bilinear maximal operator
We study the regularity properties of bilinear maximal operator. Some new bounds and continuity for the above operators are established on the...
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Existence and Relaxation of Solutions for a Differential Inclusion with Maximal Monotone Operators and Perturbations
AbstractA differential inclusion with a time-dependent maximal monotone operator and a perturbation is studied in a separable Hilbert space. The...
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Spherical means on the Heisenberg group: Stability of a maximal function estimate
Consider the surface measure μ on a sphere in a nonvertical hyperplane on the Heisenberg group ℍ n , n ≥ 2, and the convolution f * μ . Form the...
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Causal sparse domination of Beurling maximal regularity operators
We prove boundedness of Calderön–Zygmund operators acting in Banach function spaces on domains, defined by the L 1 Carleson functional and L q (1 < q <...
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A Note on the Stationary Probability Density Function and Covariance Matrix of a Stochastic Chemostat Model with Distributed Delay
In this paper, we will focus on the stochastic chemostat model with distributed delay and Monod-type nutrient absorption function in Stratonovich...
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Wavelet Optimal Estimations for a Multivariate Probability Density Function Under Weighted Distribution
The purpose of this paper is the pointwise estimation of a multivariate probability density function with weighted distribution using wavelet...
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Sizes of Flat Maximal Antichains of Subsets
This is the second of two papers investigating for which positive integers m there exists a maximal antichain of size m in the Boolean lattice
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The Chebotarev Density Theorem
The major connection between the theory of finite fields and the arithmetic of number fields and function fields is the Chebotarev density theorem.... -
The maximal regularity property of abstract integrodifferential equations
We provide a convenient framework for the study of the well-posedness of a variety of abstract (integro)differential equations in general Banach...
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Multi-parameter Maximal Fourier Restriction
The main result of this note is the strengthening of a quite arbitrary a priori Fourier restriction estimate to a multi-parameter maximal estimate of...
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Truncated Perturbation to Evolution Problems Involving Time-Dependent Maximal Monotone Operators
AbstractThis paper is devoted to the study of an evolution inclusion with unbounded nonconvex valued perturbation that is driven by a time-dependent...
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Uniform maximal Fourier restriction for convex curves
We extend the estimates for maximal Fourier restriction operators proved by Müller et al. (Rev Mat Iberoam 35:693–702, 2019) and Ramos (Proc Am Math...