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82 343 (0,23s)

Result

Sobolev embeddings with variable exponent.

We consider the generalised Lebesque space L^p(x) with a variable exponent p (x) and the corresponding Sobolev space of the first-order. We show that an analogue of the Sobolev inequality hold for such spaces under...

BA - Obecná matematika

  • 2000
  • Jx
Result

Extrapolation. Recent results and challenges

of Zygmund, Lorentz-Zygmund and small Lebesgue spaces.This paper is deals with several recent extrapolation results from the recent author´s papers and tackles further the relations of the spaces involved. First, very ...

BA - Obecná matematika

  • 2005
  • D
Result

Theory of convex local compactifications with applications to Lebesque spaces

BA - Obecná matematika

  • 1995
  • Jx
Result

Limiting reiteration theorems for real interpolation

We present reiteration theorem with limiting values.theta.= 0 and .theta.= 1 for the real interpolation method. We apply our results to Lorentz-Karamata spaces, to grand and small Lebesque spaces, to the Fourier tr...

BA - Obecná matematika

  • 2004
  • Jx
Result

Integration Between the Lebesque Integral and the Henstock-Kurzweil Integral. Its Relation to Local Convex Vector Spaces.

It is well known that both the Lebesque integration and the Henstock-Kurzweil integration can be obtained by the same method, only the integration bases aredifferent. The concept of an integration basis .UPSILON. is very flexible and results...

BA - Obecná matematika

  • 2002
  • B
Result

Discretization and anti-discretization of function spaces.

We develop a new method of discretization and anti-discretization of function spaces with application to study boundedness the generalized Stieltjes transformation in the weigh ted Lebesque spaces....

BA - Obecná matematika

  • 2002
  • D
Result

On the Rubio de Francia's theorem in variable Lebesgue spaces

In this paper we study some generalization of the Rubio de Francia's theorem in variable exponent Lebesgue spaces.

BA - Obecná matematika

  • 2014
  • Jx
Result

The Hörmander multiplier theorem, I: The linear case revisited

We give sharp range for the Hörmander multiplier theorem on Lebesque spaces in terms of the Sobolev smoothness of the symbol.

Pure mathematics

  • 2018
  • JSC
Result

A note on noneffective weights in variable Lebesgue spaces

We study noneffective weights in the framework of variable exponent Lebesgue spaces, and we establish a characterization of weights, which do not change the space up to equivalence of norms....

BA - Obecná matematika

  • 2012
  • Jx
  • Link
Result

The Critical Exponent for Weighted Sobolev Imbeddings. Dedicated to Professor Antonio Avantaggiati on the occasion of his 70th birthday.

We define the critical exponent of (compact and noncompact) imbeddings of certain special weighted Sobolev spaces into weighted Lebesque spaces....

BA - Obecná matematika

  • 2001
  • Jx
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