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In this paper, following the $p$ -adic integration theory worked out by A. F. Monna and T. A. Springer [4, 5] and generalized by A. C. M. van Rooij and W. H. Schikhof [6, 7] for the spaces which are not $σ$ -compacts, we study the class of integrable $p$ -adic functions with respect to Bernoulli measures of rank $1$ . Among these measures, we characterize those which are invertible and we give their inverse in the form of series.

Integrable group actions on von Neumann algebras.

W.L. Paschke (1977)

Mathematica Scandinavica

Integrable-ergodic C*-dynamical systems on Abelian groups.

D. de Schreye (1985)

Mathematica Scandinavica

Integración bilineal bornológica.

María E. Ballve, P. Jiménez Guerra (1989)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

Integración de funciones con valores en un espacio localmente convexo respecto de medidas infinitas. II.

Baltasar Rodríguez-Salinas (1983)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

Integración de funciones con valores en un espacio localmente convexo respecto de medidas infinitas. III.

Baltasar Rodríguez-Salinas (1983)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

Integración de funciones con valores en un espacio localmente convexo respecto de medidas infinitas. I.

Baltasar Rodríguez-Salinas (1983)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

Integral and derivative operators of functional order on generalized Besov and Triebel-Lizorkin spaces in the setting of spaces of homogeneous type

Silvia I. Hartzstein, Beatriz E. Viviani (2002)

Commentationes Mathematicae Universitatis Carolinae

In the setting of spaces of homogeneous-type, we define the Integral, $I_{φ}$ , and Derivative, $D_{φ}$ , operators of order $φ$ , where $φ$ is a function of positive lower type and upper type less than $1$ , and show that $I_{φ}$ and $D_{φ}$ are bounded from Lipschitz spaces $Λ^{ξ}$ to $Λ^{ξ φ}$ and $Λ^{ξ / φ}$ respectively, with suitable restrictions on the quasi-increasing function $ξ$ in each case. We also prove that $I_{φ}$ and $D_{φ}$ are bounded from the generalized Besov ${\dot{B}}_{p}^{ψ, q}$ , with $1 \leq p, q < \infty$ , and Triebel-Lizorkin spaces ${\dot{F}}_{p}^{ψ, q}$ , with $1 < p, q < \infty$ , of order $ψ$ to those of order $φ ψ$ and $ψ / φ$ respectively,...

Integral criteria for transportation-cost inequalities.

Gozlan, Nathael (2006)

Electronic Communications in Probability [electronic only]

Integral equalities for functions of unbounded spectral operators in Banach spaces [Book]

Benedetto Silvestri (2009)

Integral equations of the first kind of Sonine type.

Samko, Stefan G., Cardoso, Rogério P. (2003)

International Journal of Mathematics and Mathematical Sciences

Integral holomorphic functions

Verónica Dimant, Pablo Galindo, Manuel Maestre, Ignacio Zalduendo (2004)

Studia Mathematica

We define the class of integral holomorphic functions over Banach spaces; these are functions admitting an integral representation akin to the Cauchy integral formula, and are related to integral polynomials. After studying various properties of these functions, Banach and Fréchet spaces of integral holomorphic functions are defined, and several aspects investigated: duality, Taylor series approximation, biduality and reflexivity.

Integral inequalities and summability of solutions of some differential problems

Lucio Boccardo (2000)

Banach Center Publications

The aim of this note is to indicate how inequalities concerning the integral of ${| \nabla u |}^{2}$ on the subsets where |u(x)| is greater than k ( $k \in I R^{+}$ ) can be used in order to prove summability properties of u (joint work with Daniela Giachetti). This method was introduced by Ennio De Giorgi and Guido Stampacchia for the study of the regularity of the solutions of Dirichlet problems. In some joint works with Thierry Gallouet, inequalities concerning the integral of ${| \nabla u |}^{2}$ on the subsets where |u(x)| is less than k ( $k \in I R^{+}$ ) or...

We use polymeasures to characterize when a multilinear form defined on a product of $C (K, X)$ spaces is integral.

Integral operators and absolute convergence systems.

Korotkov, V.B. (2002)

Sibirskij Matematicheskij Zhurnal

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Integrability for the Dobrakov integral

Integrability of derivations of classical solutions of Dirichlet's problem for an elliptic equation.

Integrable, ergodic actions of Abelian groups on von Neumann algebras.

Integrable functions for the Bernoulli measures of rank $1$

Integrable group actions on von Neumann algebras.

Integrable-ergodic C*-dynamical systems on Abelian groups.

Integración bilineal bornológica.

Integración de funciones con valores en un espacio localmente convexo respecto de medidas infinitas. II.

Integración de funciones con valores en un espacio localmente convexo respecto de medidas infinitas. III.

Integración de funciones con valores en un espacio localmente convexo respecto de medidas infinitas. I.

Integral and derivative operators of functional order on generalized Besov and Triebel-Lizorkin spaces in the setting of spaces of homogeneous type

Integral criteria for transportation-cost inequalities.

Integral equalities for functions of unbounded spectral operators in Banach spaces [Book]

Integral equations of the first kind of Sonine type.

Integral holomorphic functions

Integral inequalities and summability of solutions of some differential problems

Integral inequalities in anisotropic Sobolev spaces.

Integral mappings and the principle of local reflexivity for noncommutative $L^{1}$ -spaces.

Integral multilinear forms on $C (K, X)$ spaces

Integral operators and absolute convergence systems.

Currently displaying 4861 – 4880 of 13227