Strichartz inequalities with weights in Morrey-Campanato classes

Barceló, Juan Antonio; Bennett, Jonathan; Carbery, Anthony; Ruiz, Alberto; Vilela, Mari Cruz

doi:10.1007/bf03191225

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Introduction3

Proof Of Proposition 221

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2024

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Cited by 14 publications

(16 citation statements)

References 13 publications

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“…In this section, we prove Proposition 2.2 by making use of the following lemma. (As mentioned in [1], this lemma is seen to be sharp in the case γ = n/2. )…”

Section: Proof Of Proposition 22supporting

confidence: 59%

Strichartz estimates for the Schrödinger propagator in Wiener amalgam spaces

Kim

Koh

Seo

2019

Journal of Mathematical Analysis and Applications

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In this paper we study the Strichartz estimates for the Schrödinger propagator in the context of Wiener amalgam spaces which, unlike the Lebesgue spaces, control the local regularity of a function and its decay at infinity separately. This separability makes it possible to perform a finer analysis of the local and global behavior of the propagator. Our results improve some of the classical ones in the case of large time.

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“…In this section, we prove Proposition 2.2 by making use of the following lemma. (As mentioned in [1], this lemma is seen to be sharp in the case γ = n/2. )…”

Section: Proof Of Proposition 22supporting

confidence: 59%

Strichartz estimates for the Schrödinger propagator in Wiener amalgam spaces

Kim

Koh

Seo

2019

Journal of Mathematical Analysis and Applications

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“…The quantity

∥ f^{β} {true∥}_{{KS}_{α}}^{1 / β}

was already appeared in and concerning the unique continuation for the Schrödinger equation and eigenvalue bounds for the Schrödinger operator, respectively. We also refer the reader to for some weighted L 2 estimates in which a time‐dependent weight

w (x, t)

is involved.…”

Section: Introductionmentioning

confidence: 99%

A note on the Schrödinger smoothing effect

Seo

2019

Mathematische Nachrichten

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The Kato–Yajima smoothing estimate is a smoothing weighted L2 estimate with a singular power weight for the Schrödinger propagator. The weight has been generalized relatively recently to Morrey–Campanato weights. In this paper we make this generalization more sharp in terms of the so‐called Kerman–Sawyer weights. Our result is based on a more sharpened Fourier restriction estimate in a weighted L2 space. Obtained results are also extended to the fractional Schrödinger propagator.

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“…An n-dimensional version of this lemma for m = 2 may be obtained by scaling Lemma 1.A of[9] as in[3].…”

mentioning

confidence: 99%