{
  "abstract": "In this paper, we prove a boundedness result for parabolic Riesz transforms in the range $p \\le 2$ associated with degenerate parabolic operators whose elliptic part is in divergence form with complex coefficients depending measurably on space and time. The degeneracy is determined by a spatial weight in the Muckenhoupt class $A_2(\\mathbb{R}^n)$. The argument relies on off-diagonal estimates for the parabolic gradient of the resolvent family, together with weighted embeddings. We obtain boundedness in a range of exponents strictly below $2$, with explicit ranges quantified by the reverse H\\\"older class of the weight. For real coefficients, this quantification is sharp and extends down to $1$.",
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  "arxiv": "2609.21949",
  "author_total": 1,
  "authors": [
    {
      "name": "Khalid Baadi"
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  "doi": "10.48550/arxiv.2609.21949",
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  "pdf_url": "https://hal.science/hal-05755263/document",
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  "published": "2026-09-18",
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  "ris": "https://research.draconitic.com/paper/bpcm5qh0pegxr.ris",
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      "first_seen": "2026-10-30T12:17:36Z",
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      "url": "https://arxiv.org/abs/2609.21949"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
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  "title": "A boundedness result for degenerate parabolic Riesz transforms with rough coefficients",
  "title_text": "A boundedness result for degenerate parabolic Riesz transforms with rough coefficients",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:07Z",
  "url": "https://research.draconitic.com/paper/bpcm5qh0pegxr",
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