1,721,084 research outputs found
On a new definition of local upper and lower dimensions in metric measure spaces
No full textSome properties and generalizations connected with Zygmund-Bary-Stechkin classes of functions have been shown. The results have been published on Proc. Razmadze Math. Inst. in 2007
An Inequality For Jensen Means
No full textA new inequality relating the modular and the norm of the Orlicz spaces is stated and proved
The maximal operator and the Sobolev theorem on variable exponent spaces
No full textIn this paper some results about the maximal operator and the Sobolev spaces are presented, in the framework of the variable exponent spaces. It is shown how to solve the difficulties in order to prove a version of the Sobolev theorem which can be proved following the classical ideas
Weighted estimations of the maximal operator on metric measure spaces
No full textThe boundedness of the maximal operator in weighted Lebesgue spaces with variable exponent, over spaces of homogeneous type is obtained. The resulting class of weights coincides with the classical Muckenhoupt class in the case of constant exponents
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