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PreprintarXiv licencearXiv

Higher order pointwise estimates for intermediate derivative

Abstract

The estimates of intermediate derivative play important role in the theory of partial differential equations. The modern approach to this problem is via pointwise estimates, since this allows to obtain results for various function norms. The paper aims to extend the pointwise estimate for intermediate derivative in terms of the averaging operator for higher orders derivatives.

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BibTeX
@misc{horak2026higher,
  title = {{Higher order pointwise estimates for intermediate derivative}},
  author = {Miroslav Horák and Filip Soudský and Martina Šimůnková},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.15202},
  eprint = {2609.15202},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.15202},
}
RIS
TY  - UNPB
TI  - Higher order pointwise estimates for intermediate derivative
AU  - Miroslav Horák
AU  - Filip Soudský
AU  - Martina Šimůnková
PY  - 2026
DA  - 2026/09/14
PB  - arXiv
DO  - 10.48550/arxiv.2609.15202
UR  - https://arxiv.org/abs/2609.15202
AB  - The estimates of intermediate derivative play important role in the theory of partial differential equations. The modern approach to this problem is via pointwise estimates, since this allows to obtain results for various function norms. The paper aims to extend the pointwise estimate for intermediate derivative in terms of the averaging operator for higher orders derivatives.
ER  -