Cyclic cocycles, renormalization and eta-invariants.
Der Konjugiertenoperator auf rearrangement-invarianten Funktionenräumen.
Differences of weighted composition operators from Hardy space to weighted-type spaces on the unit ball
In this paper, we limit our analysis to the difference of the weighted composition operators acting from the Hardy space to weighted-type space in the unit ball of , and give some necessary and sufficient conditions for their boundedness or compactness. The results generalize the corresponding results on the single weighted composition operators and on the differences of composition operators, for example, M. Lindström and E. Wolf: Essential norm of the difference of weighted composition operators....
Dirac operators, conformal transformations and aspects of classical harmonic analysis.
Direct results for certain family of integral type operators.
Discrete Spectrum of the Periodic Schrödinger Operator with a Variable Metric Perturbed by a Nonnegative Potential
We study discrete spectrum in spectral gaps of an elliptic periodic second order differential operator in L2(ℝd) perturbed by a decaying potential. It is assumed that a perturbation is nonnegative and has a power-like behavior at infinity. We find asymptotics in the large coupling constant limit for the number of eigenvalues of the perturbed operator that have crossed a given point inside the gap or the edge of the gap. The corresponding asymptotics...
Double weighted commutators theorem for pseudo-differential operators with smooth symbols
Let and let be pseudo-differential operators with symbols , where , and . Let , be weights in Muckenhoupt classes , for some . We establish a two-weight inequality for commutators generated by pseudo-differential operators with weighted BMO functions , namely, the commutator is bounded from into . Furthermore, the range of can be extended to the whole .
Duality theory for linear -th order integro-differential operators with domain in determined by interface side conditions
Eigenvalue distribution for non-self-adjoint operators with small multiplicative random perturbations
In this work we continue the study of the Weyl asymptotics of the distribution of eigenvalues of non-self-adjoint (pseudo)differential operators with small random perturbations, by treating the case of multiplicative perturbations in arbitrary dimension. We were led to quite essential improvements of many of the probabilistic aspects.
Eigenvalue distribution of integral operators defined by Besov-Orlicz kernels.
Eigenvalues and subelliptic estimates for non-selfadjoint semiclassical operators with double characteristics
For a class of non-selfadjoint –pseudodifferential operators with double characteristics, we give a precise description of the spectrum and establish accurate semiclassical resolvent estimates in a neighborhood of the origin. Specifically, assuming that the quadratic approximations of the principal symbol of the operator along the double characteristics enjoy a partial ellipticity property along a suitable subspace of the phase space, namely their singular space, we give a precise description of...
Eigenvalues of Hille-Tamarkin operators and geometry of Banach function spaces
We investigate how the asymptotic eigenvalue behaviour of Hille-Tamarkin operators in Banach function spaces depends on the geometry of the spaces involved. It turns out that the relevant properties are cotype p and p-concavity. We prove some eigenvalue estimates for Hille-Tamarkin operators in general Banach function spaces which extend the classical results in Lebesgue spaces. We specialize our results to Lorentz, Orlicz and Zygmund spaces and give applications to Fourier analysis. We are also...
Eigenvalues of Integral Operators, I.
Eigenvalues of Integral Operators. II.
Ein Zerlegungssatz für Resolventen elliptischer Operatoren.
Eine Eigenwertabschätzung für Integraloperatoren mit stochastischen Kernen
Eine Erweiterung des Satzes von Rakovcik und ihre Anwendung in der Simonenko-Theorie.
Einige Existenz- und Einschließungssätze für Fixpunkte expandierender Integraloperatoren. (Short Communication).
Einige Existenz- und Einschließungssätze für Fixpunkte expandierender Integraloperatoren.
Elliptic Boundary Problems and the Boutet de Monvel Calculus in Besov and Triebel-Lizorkin Spaces.