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Horizontal Weighted Hardy–Rellich Type Inequalities on Stratified Lie Groups

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Abstract

This paper is devoted to present a version of horizontal weighted Hardy–Rellich type inequality on stratified Lie groups and study some of its consequences. In particular, Sobolev type spaces are defined on stratified Lie groups and proved embedding theorems for these functional spaces.

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Authors and Affiliations

  1. Institute of Mathematics and Mathematical Modelling, 125 Pushkin Street, Almaty, Kazakhstan, 050010

    Bolys Sabitbek & Durvudkhan Suragan

  2. Al-Farabi Kazakh National University, 71 Al-Farabi Avenue, Almaty, Kazakhstan, 050040

    Bolys Sabitbek

Authors
  1. Bolys Sabitbek
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  2. Durvudkhan Suragan
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Corresponding author

Correspondence to Bolys Sabitbek.

Additional information

Communicated by Michael Ruzhansky.

The authors were supported by the MESRK Grant 5127/GF4.

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Sabitbek, B., Suragan, D. Horizontal Weighted Hardy–Rellich Type Inequalities on Stratified Lie Groups. Complex Anal. Oper. Theory 12, 1469–1480 (2018). https://doi.org/10.1007/s11785-017-0650-z

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  • DOI: https://doi.org/10.1007/s11785-017-0650-z

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