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Prof. Nijjwal Karak

Assistant Professor,
Department of Mathematics

Geometric Analysis, Geometric Function Theory, Theory of Function Spaces
Birla Institute of Technology & Science, Pilani
Hyderabad Campus
Jawahar Nagar, Kapra Mandal
Dist.-Medchal-500 078
Telangana, India

Publications


  1. Removable sets for Orlicz-Sobolev spaces. Potential Analysis (Springer), 43(4): 675-694, 2015.

  2. (With Pekka Koskela) Lebesgue points via the Poincaré inequality. Science China Mathematics (Springer), 58(8): 1697-1706, 2015.

  3. (With Pekka Koskela) Capacities and Hausdorff measures on metric spaces. Revista Matematica Complutense (Springer), 28(3): 733-740, 2015.

  4. Generalized Lebesgue points for Sobolev functions. Czechoslovak Mathematical Journal (Springer), 67(1): 143-150, 2017.

  5. Measure density and embeddings of Hajlasz-Besov and Hajlasz-Triebel Lizorkin spaces. Journal of  Mathematical Analysis and Applications (Elsevier), 475(1): 966-984, 2019.

  6. Removable sets for weighted Orlicz-Sobolev Spaces. Computational Methods and Function Theory (Springer), 19(3): 473-486, 2019.

  7. Lower bound of measure and embeddings of Sobolev, Besov and Triebel-Lizorkin spaces. Mathematische Nachrichten (Wiley), 293(1): 120-128, 2020.

  8. Triebel-Lizorkin capacity and Haudorff measure in metric spaces. Mathematica Slovaca (De Gruyter), 70(3): 617-624, 2020.

  9. (With Przemslaw Gorka and Daniel J. Pons) Variable exponent Sobolev spaces and regularity of domains. Journal of Geometric Analysis (Springer), 31(7): 7304-7319, 2021.

  10. (With Toni Heikkinen) Orlicz-Sobolev embeddings, extensions and Orlicz-Poincaré inequalities. Journal of Functional Analysis (Elsevier), 282(2): Paper No. 109292, 2022. 

  11. (With Debarati Mondal) Besov and Triebel-Lizorkin capacity in metric spaces. Mathematica Slovaca (De Gruyter), 73(4): 937-948, 2023.

  12. (With Przemslaw Gorka and Daniel J. Pons) Variable exponent Sobolev spaces and regularity of domains-II. Revista Matematica Complutense (Springer), 37: 695-711, 2024.

13. (With Debarati Mondal) Capacity in Besov and Triebel-Lizorkin spaces with generalized smoothness. Georgian Mathematical Journal (De Gruyter), 31(6): 973-985, 2024.

14. (With Debarati Mondal) Triebel-Lizorkin capacity and Hausdorff measure in metric spaces with chain condition. The Journal of Analysis (Springer), 32(6): 3155-3172, 2024.

15. (With Pekka Koskela, Debanjan Nandi and Swadesh Kumar Sahoo) Conformal composition for borderline fractional Sobolev spaces. Acta Mathematica Sinica, English Series (Springer), 41(1): 457-471, 2025.