Maximal function estimates for the parabolic mean value kernel.
Maximal function in Beurling-Orlicz and central Morrey-Orlicz spaces
We define Beurling-Orlicz spaces, weak Beurling-Orlicz spaces, Herz-Orlicz spaces, weak Herz-Orlicz spaces, central Morrey-Orlicz spaces and weak central Morrey-Orlicz spaces. Moreover, the strong-type and weak-type estimates of the Hardy-Littlewood maximal function on these spaces are investigated.
Maximal functions and Hilbert transforms associated to polynomials.
Maximal functions and related weight classes.
The famous result of Muckenhoupt on the connection between weights w in Ap-classes and the boundedness of the maximal operator in Lp(w) is extended to the case p = ∞ by the introduction of the geometrical maximal operator. Estimates of the norm of the maximal operators are given in terms of the Ap-constants. The equality of two differently defined A∞-constants is proved. Thereby an answer is given to a question posed by R. Johnson. For non-increasing functions on the positive real line a parallel...
Maximal functions and singular integrals associated to polynomial mapping of Rn.
Maximal functions related to subelliptic operators with polynomially growing coefficients.
Maximal inequalities and Riesz transform estimates on spaces for Schrödinger operators with nonnegative potentials
We show various estimates for Schrödinger operators on and their square roots. We assume reverse Hölder estimates on the potential, and improve some results of Shen. Our main tools are improved Fefferman-Phong inequalities and reverse Hölder estimates for weak solutions of and their gradients.
Maximal operators defined by Fourier multipliers
Maximal operators, Lebesgue points and quasicontinuity in strongly nonlinear potential theory.
Maximal operators of Fejér means of double Vilenkin-Fourier series
The main aim of this paper is to prove that the maximal operator of the Fejér means of the double Vilenkin-Fourier series is not bounded from the Hardy space to the space weak-.
Maximal operators of Fejér means of Vilenkin-Fourier series.
Maximal operators of the Fejér means of the two dimensional character system of the -series field in the Kaczmarz rearrangement.
Maximal regularity and Hardy spaces
Maximal regularity of discrete and continuous time evolution equations
We consider the maximal regularity problem for the discrete time evolution equation for all n ∈ ℕ₀, u₀ = 0, where T is a bounded operator on a UMD space X. We characterize the discrete maximal regularity of T by two types of conditions: firstly by R-boundedness properties of the discrete time semigroup and of the resolvent R(λ,T), secondly by the maximal regularity of the continuous time evolution equation u’(t) - Au(t) = f(t) for all t > 0, u(0) = 0, where A:= T - I. By recent results of...
Maximal singular integrals on product homogeneous groups
We prove boundedness for p ∈ (1,∞) of maximal singular integral operators with rough kernels on product homogeneous groups under a sharp integrability condition of the kernels.
Mean growth and Fourier coefficients of some classes of holomorphic functions on bounded symmetric domains
Mean Oscillation and Boundedness of Multilinear Integral Operators with General Kernels
In this paper, the boundedness properties for some multilinear operators related to certain integral operators from Lebesgue spaces to Orlicz spaces are proved. The integral operators include singular integral operator with general kernel, Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator.
Mean Oscillation of Functions and the Paley-Wiener Space.
Mean periodic functions on phase space and the Pompeiu problem with a twist
We show that when is a mean periodic function of tempered growth on the reduced Heisenberg group then the closed translation and rotation invariant subspace generated by contains an elementary spherical function. Using a Paley-Wiener theorem for the Fourier-Weyl transform we formulate a conjecture for arbitrary mean periodic functions.
Mean Quadratic Variations and Fourier Asymptotics of Self-similar Measures.