SOME GEOMETRIC PROPERTIES OF WEIGHTED LEBESGUE SPACES Lp w(G)

Oğuz Oğur

DOI Number
-
First page
523
Last page
530

Abstract


In this paper, we deal with some geometric properties of weighted
Lebesgue spaces Lpw(G), where G is locally compact Abelian group and w
is a Beurling weight. Also, we study on uniformly convexity of the space
Lp(G) \ Lr(G) with 1 < p; r < 1.

Keywords

weighted Lebesgue space, geometric properties

Keywords


weighted Lebesgue space, geometric properties.

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References


Agarwal R. P.; ORegan D.; Sahu D. R.: Fixed Point Theory for Lipschitzian-type Mappings with Applications, Vol 6, Springer, 2009.

Hewit E.; Ross K. A.: Abstract Harmonic Analysis, Vol 1, Springer-Verlag, Berlin, 1993.

Rieter H.; Stegeman J. D.: Classical Harmonic Analysis and Locally Compact Groups, London Mathematical Society, New Series, 22, Oxford Sci. Publ., 2000.

Sa¼g¬r B.; Duyar C.: A note on Multipliers of Weighted Lebesgue Spaces, Thai J. Math., In press.

Boas R. R.: Some Uniformly Convex Spaces, Bull. Amer. Math. Soc., Vol 46, 4 (1940), 304-311.

Clarkson J. A.: Uniformly Convex Spaces, Transactions of This Society, Vol 40, (1936), 396-414.

Castillo R. E.; Raferio H.: An Introductory Course in Lebesgue Spaces, CMS Books in Mathematics, 2016.

Gaudry G. I.: Multipliers of Weighted Lebesgue and Measure Spaces, Proc. London Math. Soc., Vol 19, (1969), 327-340.

Bourouihiya A.: Beurling Weighted Spaces, Product-Convolution Operators and the Tensor Product of Frames, PhD Thesis, University of Maryland, 2006.


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