Norm inequalities in weighted amalgam

Suket Kumar

Commentationes Mathematicae Universitatis Carolinae (2018)

  • Volume: 59, Issue: 3, page 317-325
  • ISSN: 0010-2628

Abstract

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Hardy inequalities for the Hardy-type operators are characterized in the amalgam space which involves Banach function space and sequence space.

How to cite

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Kumar, Suket. "Norm inequalities in weighted amalgam." Commentationes Mathematicae Universitatis Carolinae 59.3 (2018): 317-325. <http://eudml.org/doc/294786>.

@article{Kumar2018,
abstract = {Hardy inequalities for the Hardy-type operators are characterized in the amalgam space which involves Banach function space and sequence space.},
author = {Kumar, Suket},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Hardy's inequality; amalgam space; weight function},
language = {eng},
number = {3},
pages = {317-325},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Norm inequalities in weighted amalgam},
url = {http://eudml.org/doc/294786},
volume = {59},
year = {2018},
}

TY - JOUR
AU - Kumar, Suket
TI - Norm inequalities in weighted amalgam
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2018
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 59
IS - 3
SP - 317
EP - 325
AB - Hardy inequalities for the Hardy-type operators are characterized in the amalgam space which involves Banach function space and sequence space.
LA - eng
KW - Hardy's inequality; amalgam space; weight function
UR - http://eudml.org/doc/294786
ER -

References

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  6. Jain P., Kumar S., Boundedness of Hardy operators on generalized amalgams, Math. Inequal. Appl. 12 (2009 ), no. 3, 549–562. MR2540978
  7. Kufner A., Persson L.-E., Weighted Inequalities of Hardy Type, World Scientific Publishing, River Edge, 2003. Zbl1065.26018MR1982932
  8. Lomakina E., Stepanov V., 10.5565/PUBLMAT_42198_09, Publ. Mat. 42 (1998), no. 1, 165–194. MR1628166DOI10.5565/PUBLMAT_42198_09
  9. Luxemburg W. A. J., Banach Function Spaces, Ph.D. Thesis, Delft Institute of Technology, Aseen, 1955. Zbl0162.44701MR0072440
  10. Salvador P. O., Torreblanca C. R., Hardy operators on weighted amalgams, Proc. Royal Soc. Edinburgh, Section A 140 (2010), no. 1, 175–188. MR2592719
  11. Wiener N., 10.1007/BF01216799, Math. Z. 24 (1926), no. 1, 575–616. MR1544780DOI10.1007/BF01216799
  12. Zharov P. A., On a two-weight inequality. Generalization of Hardy and Poincaré inequalities, Trudy Mat. Inst. Steklov. 194 (1992), Issled. po Teor. Differ. Funktsiĭ Mnogikh Peremen. i ee Prilozh. 14, 97–110 (Russian); translation in Proc. Steklov Inst. Math. 194 (1993), no. 4, 101–114. MR1289650

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