ACTA issues

## Toeplitz products on the vector weighted Bergman spaces

Jocelyn Gonessa, Benoît F. Sehba

Acta Sci. Math. (Szeged) 80:3-4(2014), 511-530
27/2012

 Abstract. A result of K. Stroethoff and D. Zheng provides on the polydisk a necessary and sufficient condition for the Toeplitz product $T_fT_{\overline g}$ to be bounded on the unweighted Bergman space. We consider the same question on the vector weighted Bergman space of the unit polydisc. DOI: 10.14232/actasm-012-777-1 AMS Subject Classification (1991): 32A36, 47B35 Keyword(s): Bergman spaces, reproducing kernel, Toeplitz operator Received May 2, 2012, and in final form August 20, 2014. (Registered under 27/2012.)
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9133442640304565, "perplexity": 2034.9062347739307}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2022-27/segments/1656104669950.91/warc/CC-MAIN-20220706090857-20220706120857-00577.warc.gz"}