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Träfflista för sökning "AMNE:(NATURVETENSKAP Matematik Matematisk analys) ;pers:(Persson Lars Erik)"

Sökning: AMNE:(NATURVETENSKAP Matematik Matematisk analys) > Persson Lars Erik

  • Resultat 1-10 av 398
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2.
  • Jain, P., et al. (författare)
  • Inequalities and properties of some generalized Orlicz classes and spaces
  • 2007
  • Ingår i: Acta Mathematica Hungarica. - : Springer Science and Business Media LLC. - 0236-5294 .- 1588-2632. ; 117:1-2, s. 161-174
  • Tidskriftsartikel (refereegranskat)abstract
    • We discuss and complement the knowledge about generalized Orlicz classes and Orlicz spaces X Φ obtained by replacing the space L 1 in the classical construction by an arbitrary Banach function space X. Our main aim is to focus on the task to study inequalities in such spaces. We prove a number of new inequalities and also natural generalizations of some classical ones (e.g., Minkowski’s, Hölder’s and Young’s inequalities). Moreover, a number of other basic facts for further study of inequalities and function spaces are included.
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3.
  • Kuliev, K., et al. (författare)
  • An extension of Rothe´s method to noncylindrical domains
  • 2007
  • Ingår i: Applications of Mathematics. - : Institute of Mathematics, Czech Academy of Sciences. - 0862-7940 .- 1572-9109. ; 52:5, s. 365-389
  • Tidskriftsartikel (refereegranskat)abstract
    • In this paper Rothe's classical method is extended so that it can be used to solve some linear parabolic boundary value problems in non-cylindrical domains. The corresponding existence and uniqueness theorems are proved and some further results and generalizations are discussed and applied.
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4.
  • Okpoti, Christopher, et al. (författare)
  • An equivalence theorem for some integral conditions with general measures related to Hardy´s inequality
  • 2007
  • Ingår i: Journal of Mathematical Analysis and Applications. - : Elsevier BV. - 0022-247X .- 1096-0813. ; 326:1, s. 398-413
  • Tidskriftsartikel (refereegranskat)abstract
    • It is proved that, besides the usual Muckenhoupt condition, there exist four different scales of conditions for characterizing the Hardy type inequality with general measures for the case 1<pq<∞. In fact, an even more general equivalence theorem of independent interest is proved and discussed.
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5.
  • Persson, Lars-Erik, et al. (författare)
  • Some scales of equivalent weight characterizations of Hardy´s inequality: the case q < p
  • 2007
  • Ingår i: Mathematical Inequalities & Applications. - : Element d.o.o.. - 1331-4343 .- 1848-9966. ; 10:2, s. 267-279
  • Tidskriftsartikel (refereegranskat)abstract
    • We consider the weighted Hardy inequality                                                1/q                            1/p                                       q                      ∞                                       ∞                             x                                                                 f p (x)v(x)dx                               f (t)dt   u(x)dx       C                    0      0                                0for the case 0 < q < p < ∞, p > 1 . The weights u(x) and v(x) for which this inequalityholds for all f (x)    0 may be characterized by the Mazya-Rosin or by the Persson-Stepanovconditions. In this paper, we show that these conditions are not unique and can be supplementedby some continuous scales of conditions and we prove their equivalence. The results for the dualoperator which do not follow by duality when 0 < q < 1 are also given.
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6.
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7.
  • Persson, Lars-Erik, et al. (författare)
  • Weighted inequalities of Hardy type for matrix operators: The case q
  • 2007
  • Ingår i: Mathematical Inequalities & Applications. - : Element d.o.o.. - 1331-4343 .- 1848-9966. ; 10:4, s. 843-861
  • Tidskriftsartikel (refereegranskat)abstract
    • A non-negative triangular matrix operator is considered in weighted Lebesgue spaces ofsequences. Under some additional conditions on the matrix, some new weight characterizationsfor discrete Hardy type inequalities with matrix operator are proved for the case 1 < q < p < ∞.Some further results are pointed out.
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9.
  • Asekritova, Irina, et al. (författare)
  • Distribution and Rearranement Estimates of the Maximal Functions and Interpolation
  • 1997
  • Ingår i: Studia Mathematica. - 0039-3223 .- 1730-6337. ; 124:2, s. 107-132
  • Tidskriftsartikel (refereegranskat)abstract
    • There are given necessary and sufficient conditions on a measure dμ(x)=w(x)dx under which the key estimates for the distribution and rearrangement of the maximal function due to Riesz, Wiener, Herz and Stein are valid. As a consequence, we obtain the equivalence of the Riesz and Wiener inequalities which seems to be new even for the Lebesgue measure. Our main tools are estimates of the distribution of the averaging function f** and a modified version of the Calderón-Zygmund decomposition. Analogous methods allow us to obtain K-functional formulas in terms of the maximal function for couples of weighted $L_p$-spaces.
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