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Information Journal Paper

Title

Σ-CONVERGENCE

Pages

  101-135

Abstract

 We discuss two new concepts of convergence in Lp-spaces, the socalled weak S-convergence and strong S-convergence, which are intermediate between classical weak convergence and strong convergence. We also introduce the concept of S-convergence for Radon measures. Our basic tool is the classical Gelfand representation theory. Apart from being a natural generalization of well-known two-scale convergence theory, the present study lays the foundation of the mathematical framework that is needed to undertake a systematic study of deterministic HOMOGENIZATION problems beyond the usual periodic setting. A few HOMOGENIZATION problems are worked out by way of illustration.

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    APA: Copy

    NGUETSENG, GABRIEL, & SVANSTEDT, NILS. (2011). Σ-CONVERGENCE. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 5(1), 101-135. SID. https://sid.ir/paper/316938/en

    Vancouver: Copy

    NGUETSENG GABRIEL, SVANSTEDT NILS. Σ-CONVERGENCE. BANACH JOURNAL OF MATHEMATICAL ANALYSIS[Internet]. 2011;5(1):101-135. Available from: https://sid.ir/paper/316938/en

    IEEE: Copy

    GABRIEL NGUETSENG, and NILS SVANSTEDT, “Σ-CONVERGENCE,” BANACH JOURNAL OF MATHEMATICAL ANALYSIS, vol. 5, no. 1, pp. 101–135, 2011, [Online]. Available: https://sid.ir/paper/316938/en

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