Lipschitz continuity in Muckenhoupt 𝓐₁ weighted function spaces

Dorothee D. Haroske

Banach Center Publications (2011)

  • Volume: 92, Issue: 1, page 107-129
  • ISSN: 0137-6934

Abstract

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We study continuity envelopes of function spaces B p , q s ( , w ) and F p , q s ( , w ) where the weight belongs to the Muckenhoupt class ₁. This essentially extends partial forerunners in [13, 14]. We also indicate some applications of these results.

How to cite

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Dorothee D. Haroske. "Lipschitz continuity in Muckenhoupt 𝓐₁ weighted function spaces." Banach Center Publications 92.1 (2011): 107-129. <http://eudml.org/doc/281634>.

@article{DorotheeD2011,
abstract = {We study continuity envelopes of function spaces $B^s_\{p,q\}(ℝⁿ,w)$ and $F^s_\{p,q\}(ℝⁿ,w)$ where the weight belongs to the Muckenhoupt class ₁. This essentially extends partial forerunners in [13, 14]. We also indicate some applications of these results.},
author = {Dorothee D. Haroske},
journal = {Banach Center Publications},
keywords = {Muckenhoupt weights; function spaces; continuity envelopes; sharp embeddings; Hardy type inequalities},
language = {eng},
number = {1},
pages = {107-129},
title = {Lipschitz continuity in Muckenhoupt 𝓐₁ weighted function spaces},
url = {http://eudml.org/doc/281634},
volume = {92},
year = {2011},
}

TY - JOUR
AU - Dorothee D. Haroske
TI - Lipschitz continuity in Muckenhoupt 𝓐₁ weighted function spaces
JO - Banach Center Publications
PY - 2011
VL - 92
IS - 1
SP - 107
EP - 129
AB - We study continuity envelopes of function spaces $B^s_{p,q}(ℝⁿ,w)$ and $F^s_{p,q}(ℝⁿ,w)$ where the weight belongs to the Muckenhoupt class ₁. This essentially extends partial forerunners in [13, 14]. We also indicate some applications of these results.
LA - eng
KW - Muckenhoupt weights; function spaces; continuity envelopes; sharp embeddings; Hardy type inequalities
UR - http://eudml.org/doc/281634
ER -

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