Titlebook: Gaussian Harmonic Analysis; Wilfredo Urbina-Romero Book 2019 Springer Nature Switzerland AG 2019 Gaussian measure.Hermite polynomial expan

pineal-gland

Function Spaces with Respect to the Gaussian Measure,and/or imperfect. On the other hand, most of the time, even if the spaces look similar, most of the proofs are different, mainly because the Gaussian measure is not invariant by translation, which implies the need for completely different techniques.

勤勞

Gaussian Fractional Integrals and Fractional Derivatives, and Their Boundedness on Gaussian Functio before, the methods of proofs are completely different. The boundedness results for Gaussian Besov–Lipschitz and Triebel–Lizorkin spaces were obtained by A. E. Gatto, E. Pineda, and W. Urbina, and appeared initially in [.] and [.]. These results can be extended to the case of Laguerre and Jacobi expansions by analogous arguments.

propose

Connecting to External Applications,Singular integrals are among the most important operators in classical harmonic analysis.

Chipmunk

Singular Integrals with Respect to the Gaussian Measure,Singular integrals are among the most important operators in classical harmonic analysis.

Mingle

EXUDE

矛盾心理

https://doi.org/10.1007/978-3-663-06763-4sian harmonic analysis, to the Laplacian and the heat semigroup in the classical case. Then, we study an important property of the Ornstein–Uhlenbeck semigroup, the hypercontractivity property, and some of its applications.

ACRID

減震

labyrinth

,Covering Lemmas, Gaussian Maximal Functions, and Calderón–Zygmund Operators,peration in analysis and to understand and simplify its study, maximal functions are introduced. Moreover, for any limit process such as almost sure convergence, there is a maximal function that controls it; therefore, the study of their properties is crucial.