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Multiplication operators in BV spaces
The aim of this paper is to provide necessary and sufficient conditions on the generator of a multiplication operator acting in the spaces of...
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Existence Theorems for Parameter Dependent Weakly Continuous Operators with Applications
The paper presents results on the solvability and parameter dependence for problems driven by weakly continuous potential operators with continuously...
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Singular integral operators
The map** properties of T will of course heavily depend on the assumptions made on the kernel K that we will discuss in more detail in this chapter.
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An anisotropic summability and mixed sequences
In this paper we define and study a vector-valued sequence space, called the space of anisotropic ( s , q , r )-summable sequences, that generalizes the...
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The Schatten Classes of Calderón–Zygmund Operators
We prove sufficient conditions for a Calderón–Zygmund operator to belong to the Schatten classes. As in the classical T 1 theory, the conditions are...
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Sharp Lp Decay Estimates for Degenerate and Singular Oscillatory Integral Operators
In this paper, we consider a model of degenerate and singular oscillatory integral operators in which the phase functions are homogeneous polynomials...
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Some Aspects of the Spectral Theory of Unbounded Operators
We hope that the reader is well acquainted with basic courses of mathematical and functional analysis, in particular with the theory of linear...
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Non-absolutely Convergent Generalized Laplacian
For possibly discontinuous functions including, for instance, Sobolev functions, we present new Blaschke-Privaloff-type criteria for superharmonicity...
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Germ Pseudodifferential Operators in Complex Space
This chapter revisits, in greater detail, the procedures and results of Ch. 20 for a special but important subclass of germ Fourier Integral...
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Two arithmetic applications of perturbations of composition operators
We estimate the spectral radius of perturbations of a particular family of composition operators, in a setting where the usual choices of norms do...
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Convergence of Inertial Dynamics Driven by Sums of Potential and Nonpotential Operators with Implicit Newton-Like Dam**
We analyze the convergence properties when the time t tends to infinity of the trajectories generated by damped inertial dynamics which are driven by...
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Discrete Maximal Operators Over Surfaces of Higher Codimension
Integration over curved manifolds with higher codimension and, separately, discrete variants of continuous operators, have been two important, yet...
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Chapter 3: Pseudo-Differential Operators and Fourier Operators
In 1807, Jean-Baptiste Fourier had his say in the famous (going from the beginning of the XVIII century) dispute about the sounding string...
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\(L^{2}\) Theory of Pseudo-differential Operators
In recent years there has been a trend in the theory of partial differential equations towards constructive methods. The development of the theory of...