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239 612 (0,241s)

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Cones of monotone function generated by a generalized fractional maximal function

In this paper, we consider the generalized fractional maximal function and use it to introduce the space of generalized fractional maximal functions and the various cones of monotone functions

Pure mathematics

  • 2024
  • Jimp
  • Link
Result

Approximation of convex functions in Asplund generated spaces

An Asplund generated space is a Banach wihich contains densely the linear image of an Asplund space. We prove that every continuous convex function on an Asplund generated space can be represented...

BA - Obecná matematika

  • 2007
  • Jx
Result

Cones generated by a generalized fractional maximal function

The paper considers the space of generalized fractional-maximal function, constructed on the basis of a rearrangement-invariant space. Two types of cones generated by a nonincreasing rearrangement of a

Pure mathematics

  • 2023
  • Jimp
  • Link
Result

Equivalence of norms of Riesz potential and fractional maximal function in generalized Morrey spaces

In this paper we find the condition on function ! which ensures the equivalence of norms of the Riesz potential and the fractional maximal function in generalized Morrey spaces Mp,w(Rn}....

BA - Obecná matematika

  • 2012
  • Jx
  • Link
Result

Compact Embeddings of Bessel-Potential-Type Spaces into Generalized Hoelder Spaces Involving k-Modulus of Smoothness

We present conditions which are necessary and sufficient for compact embeddings of Bessel potential spaces, modelled upon a rearrangement- -invariant Banach function spaces, into generalized Hoelder spaces...

BA - Obecná matematika

  • 2011
  • Jx
  • Link
Result

On a theorem of Muchenhoupt?Wheeden in generalized Morrey spaces

In this paper we ?nd a condition on a function w which ensures the equivalence of norms of the Riesz potential and the fractional maximal function in generalized Morrey spaces Mp,w(Rn)....

BA - Obecná matematika

  • 2011
  • Jx
Result

Fractional Maximal Functions in Weighted Banach Function Spaces.

We characterize the boundedness of fractional maximal functions defined in general homogeneous type spaces from a weighted Banach function spaces (X,sigma) into another (Y,omega)....

BA - Obecná matematika

  • 2000
  • Jx
Result

Traces of Orlicz-Sobolev functions under general growth restrictions

We prove an estimate for the trace operator in spaces whose weak derivatives are in Orlicz spaces without constraints upon the growth of the generating Young function. This extends the known trace theorems establis...

BA - Obecná matematika

  • 2013
  • Jx
  • Link
Result

Spaces which are generated by discrete sets

that countably compact countably tight spaces, normed linear spaces in the weak topology and function spaces over a-compact spaces are discretely generated. We also construct,using [CH], a compac...

BA - Obecná matematika

  • 2004
  • Jx
Result

Optimal embeddings and compact embeddings of Bessel-potential-type spaces

of Bessel potential spaces H.sigma. X (Rn) with order of smoothness less than one, modelled upon rearrangement invariant Banach function spaces X (Rn), into generalized < .sigma. < 1. Second, we characterize compa...

BA - Obecná matematika

  • 2009
  • Jx
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